Pith Number

pith:JM3OTJ56

pith:2010:JM3OTJ56MSPACJFBNQ6W2Q2TGC

not attested not anchored not stored refs pending

A rough analytic relation on partial differential equations

Satoshi Tsujimoto, Tsuyoshi Kato

arxiv:1004.4981 v1 · 2010-04-28 · math.MG · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JM3OTJ56MSPACJFBNQ6W2Q2TGC}

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	2026-05-18T02:24:15.526287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b36e9a7be649e0124a16c3d6d435330a8eb0a466aab8feb530ba8215353120c

Aliases

arxiv: 1004.4981 · arxiv_version: 1004.4981v1 · doi: 10.48550/arxiv.1004.4981 · pith_short_12: JM3OTJ56MSPA · pith_short_16: JM3OTJ56MSPACJFB · pith_short_8: JM3OTJ56

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/JM3OTJ56MSPACJFBNQ6W2Q2TGC \
  | 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: 4b36e9a7be649e0124a16c3d6d435330a8eb0a466aab8feb530ba8215353120c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5164b3356b04cb7c0c77eed90244c2b26ea568ddb0e5120e249941d7e5205fe1",
    "cross_cats_sorted": [
      "math.AP",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-04-28T09:12:01Z",
    "title_canon_sha256": "49646cc8cb80e85e77bdd7d05bfdf39990b1a1f8f10691f18c8b5692410f20a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4981",
    "kind": "arxiv",
    "version": 1
  }
}