Pith Number

pith:AJ2G4AMV

pith:2012:AJ2G4AMVTKNXHHYDHCYAGPRUYW

not attested not anchored not stored refs pending

Symplectic structures and dynamics on vortex membranes

Boris Khesin

arxiv:1201.5914 v1 · 2012-01-27 · math.SG · 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{AJ2G4AMVTKNXHHYDHCYAGPRUYW}

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	2026-05-18T04:03:34.280111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02746e01959a9b739f0338b0033e34c58de83d3f310a4dfe02a556c14a0a3530

Aliases

arxiv: 1201.5914 · arxiv_version: 1201.5914v1 · doi: 10.48550/arxiv.1201.5914 · pith_short_12: AJ2G4AMVTKNX · pith_short_16: AJ2G4AMVTKNXHHYD · pith_short_8: AJ2G4AMV

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/AJ2G4AMVTKNXHHYDHCYAGPRUYW \
  | 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: 02746e01959a9b739f0338b0033e34c58de83d3f310a4dfe02a556c14a0a3530

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90c0ea110916d4c78d31073fca6a67cc675fc45dca032ee3897463bcc74cdd22",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-01-27T23:25:18Z",
    "title_canon_sha256": "7d7399b81bfc2f876472be8a737e098e4d6e94122310be3e9f202a908d5b1af7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5914",
    "kind": "arxiv",
    "version": 1
  }
}