Pith Number

pith:XT7X5C4O

pith:2010:XT7X5C4ORJEIWODCBNBC3IECKM

not attested not anchored not stored refs pending

The periodic b-equation and Euler equations on the circle

J. Escher, J. Seiler

arxiv:1001.2987 v1 · 2010-01-18 · 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{XT7X5C4ORJEIWODCBNBC3IECKM}

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	2026-05-18T02:09:43.204172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcff7e8b8e8a488b38620b422da08253325b3503f6efa2bb7963a1c8b2fa164f

Aliases

arxiv: 1001.2987 · arxiv_version: 1001.2987v1 · doi: 10.48550/arxiv.1001.2987 · pith_short_12: XT7X5C4ORJEI · pith_short_16: XT7X5C4ORJEIWODC · pith_short_8: XT7X5C4O

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/XT7X5C4ORJEIWODCBNBC3IECKM \
  | 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: bcff7e8b8e8a488b38620b422da08253325b3503f6efa2bb7963a1c8b2fa164f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4756f69b52f8d582dcf60d4c94db07962c4dbe8c1b872faac7dd9b8e6cbc1ea",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-01-18T09:50:10Z",
    "title_canon_sha256": "45d3564a05be45b69c1b3169260a6447fb786817cce3ae034837db1be688ccfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.2987",
    "kind": "arxiv",
    "version": 1
  }
}