Pith Number

pith:Y7NP2NN7

pith:2020:Y7NP2NN7E2LDVCFWMHHXCSAAXY

not attested not anchored not stored refs pending

An Inverse Problem for the Relativistic Boltzmann Equation

Antti Kujanp\"a\"a, Matti Lassas, Tony Liimatainen, Tracey Balehowsky

arxiv:2011.09312 v3 · 2020-11-18 · math.AP · math-ph · math.DG · 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{Y7NP2NN7E2LDVCFWMHHXCSAAXY}

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.

Cited by

1 paper in Pith

Inverse Nonlinear Scattering by a Metric

Receipt and verification

First computed	2026-07-05T05:01:35.345168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7dafd35bf26963a88b661cf714800be01a7ad56897534c2ac0ff9690f5991fd

Aliases

arxiv: 2011.09312 · arxiv_version: 2011.09312v3 · doi: 10.48550/arxiv.2011.09312 · pith_short_12: Y7NP2NN7E2LD · pith_short_16: Y7NP2NN7E2LDVCFW · pith_short_8: Y7NP2NN7

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/Y7NP2NN7E2LDVCFWMHHXCSAAXY \
  | 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: c7dafd35bf26963a88b661cf714800be01a7ad56897534c2ac0ff9690f5991fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e51129f7583804750f3ecd17709ecddb998377235f47462e6b858dfd175a56cc",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-11-18T14:30:41Z",
    "title_canon_sha256": "94e19d80e626939ef65f170696f97f4719fa4040dbdae38ba93a5971f4d360d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.09312",
    "kind": "arxiv",
    "version": 3
  }
}