Pith Number

pith:THVVB7IB

pith:2015:THVVB7IBR7SKFROVQF2XR4MH7U

not attested not anchored not stored refs pending

Symplectic homology and the Eilenberg-Steenrod axioms

Alexandru Oancea, Kai Cieliebak

arxiv:1511.00485 v3 · 2015-11-02 · math.SG · math.AT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{THVVB7IBR7SKFROVQF2XR4MH7U}

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	2026-05-18T00:17:09.703927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99eb50fd018fe4a2c5d5817578f187fd2654e5c5fc44e169a25932074d427374

Aliases

arxiv: 1511.00485 · arxiv_version: 1511.00485v3 · doi: 10.48550/arxiv.1511.00485 · pith_short_12: THVVB7IBR7SK · pith_short_16: THVVB7IBR7SKFROV · pith_short_8: THVVB7IB

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/THVVB7IBR7SKFROVQF2XR4MH7U \
  | 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: 99eb50fd018fe4a2c5d5817578f187fd2654e5c5fc44e169a25932074d427374

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b52b27c41d36f104b8360d27f5b054b26aca0e601b34f2d785478855898d4cb",
    "cross_cats_sorted": [
      "math.AT",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-11-02T13:13:00Z",
    "title_canon_sha256": "e73f85ed5c90d1e3ce6dcfa68ac57b089005ecbd988b23c8b336bace4b3fdcc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00485",
    "kind": "arxiv",
    "version": 3
  }
}