Pith Number

pith:RWXEF7NL

pith:2012:RWXEF7NLRXZ4WOLRE5OIHJY7GV

not attested not anchored not stored refs pending

$S^1$-equivariant symplectic homology and linearized contact homology

Alexandru Oancea, Fr\'ed\'eric Bourgeois

arxiv:1212.3731 v3 · 2012-12-15 · math.SG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RWXEF7NLRXZ4WOLRE5OIHJY7GV}

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	2026-05-18T02:42:39.729390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8dae42fdab8df3cb3971275c83a71f354018f6ec2084f01099de6d68bf250f8a

Aliases

arxiv: 1212.3731 · arxiv_version: 1212.3731v3 · doi: 10.48550/arxiv.1212.3731 · pith_short_12: RWXEF7NLRXZ4 · pith_short_16: RWXEF7NLRXZ4WOLR · pith_short_8: RWXEF7NL

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/RWXEF7NLRXZ4WOLRE5OIHJY7GV \
  | 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: 8dae42fdab8df3cb3971275c83a71f354018f6ec2084f01099de6d68bf250f8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2c0c8f663ca5a1c311693080147dbfd07f924ab47fbef6c6ed5a7dd0f30aa78",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-12-15T21:26:08Z",
    "title_canon_sha256": "473ccb78c77dd5e6d7df11602d017b1ab0cd7897d58d8a5ed58b5cb336706db5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3731",
    "kind": "arxiv",
    "version": 3
  }
}