Pith Number

pith:T2Q4TEI2

pith:2012:T2Q4TEI2FV7NPKGP7LLXA2FMIF

not attested not anchored not stored refs pending

Derivation of the Isotropic Diffusion Source Approximation (IDSA) for Supernova Neutrino Transport by Asymptotic Expansions

Emmanuel Frenod (INRIA Nancy - Grand Est / IECN / LSIIT / IRMA, Heiko Berninger, Jerome Michaud, LMBA), Martin Gander, Mathias Liebendorfer

arxiv:1212.1623 v3 · 2012-12-07 · math.AP · astro-ph.SR · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T2Q4TEI2FV7NPKGP7LLXA2FMIF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:16:40.354252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ea1c9911a2d7ed7a8cffad77068ac415f9d09b80d2b1c1eb6a7843b339ed621

Aliases

arxiv: 1212.1623 · arxiv_version: 1212.1623v3 · doi: 10.48550/arxiv.1212.1623 · pith_short_12: T2Q4TEI2FV7N · pith_short_16: T2Q4TEI2FV7NPKGP · pith_short_8: T2Q4TEI2

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/T2Q4TEI2FV7NPKGP7LLXA2FMIF \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9ea1c9911a2d7ed7a8cffad77068ac415f9d09b80d2b1c1eb6a7843b339ed621

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9908fbb91f27b14452d21c23c93b554eba366dfd956efe2cff4aa212b6dd1f4e",
    "cross_cats_sorted": [
      "astro-ph.SR",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-07T14:55:14Z",
    "title_canon_sha256": "8c078abb6a51d510417761e5bc1b9332032df88a7e115225a5c67cd79857ff53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1623",
    "kind": "arxiv",
    "version": 3
  }
}