Pith Number

pith:INSIF5TP

pith:2012:INSIF5TPDSU6INQBJSEQYGUDRF

not attested not anchored not stored refs pending

Quantum graphs with mixed dynamics: the transport/diffusion case

Amru Hussein, Delio Mugnolo

arxiv:1209.5564 v2 · 2012-09-25 · math.AP · 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{INSIF5TPDSU6INQBJSEQYGUDRF}

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	2026-07-05T02:26:24.896799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

436482f66f1ca9e436014c890c1a838945b38fa5ea008966f9ec929eb4b3fbda

Aliases

arxiv: 1209.5564 · arxiv_version: 1209.5564v2 · doi: 10.48550/arxiv.1209.5564 · pith_short_12: INSIF5TPDSU6 · pith_short_16: INSIF5TPDSU6INQB · pith_short_8: INSIF5TP

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/INSIF5TPDSU6INQBJSEQYGUDRF \
  | 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: 436482f66f1ca9e436014c890c1a838945b38fa5ea008966f9ec929eb4b3fbda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e99fcd4d7d318acf7d12592d5caef7e95993d8fcc28161c117e406a5da577db",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-25T10:25:15Z",
    "title_canon_sha256": "4c59edcb2d79b6e94ca326d0044a6f1ec3122f8f4c99197a9b1e5f6b77b6a5bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5564",
    "kind": "arxiv",
    "version": 2
  }
}