Pith Number

pith:3TMCVOKU

pith:2014:3TMCVOKUPWI7M2M3MWGMP2FTU2

not attested not anchored not stored refs pending

Symplectic Tate homology

Kai Cieliebak, Peter Albers, Urs Frauenfelder

arxiv:1405.2303 v2 · 2014-05-09 · math.SG · math.AT · 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{3TMCVOKUPWI7M2M3MWGMP2FTU2}

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	2026-05-18T01:18:49.544714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcd82ab9547d91f6699b658cc7e8b3a6a7b2f4980fb3864f827e6d201e4be248

Aliases

arxiv: 1405.2303 · arxiv_version: 1405.2303v2 · doi: 10.48550/arxiv.1405.2303 · pith_short_12: 3TMCVOKUPWI7 · pith_short_16: 3TMCVOKUPWI7M2M3 · pith_short_8: 3TMCVOKU

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/3TMCVOKUPWI7M2M3MWGMP2FTU2 \
  | 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: dcd82ab9547d91f6699b658cc7e8b3a6a7b2f4980fb3864f827e6d201e4be248

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3b0410ec330da1e2ef8fc28eaf38e888e6291b5202e7421c1c23da876d68e5b",
    "cross_cats_sorted": [
      "math.AT",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2014-05-09T18:31:30Z",
    "title_canon_sha256": "c1bd3d111661ec0bcbdb8a6d4c3c149a6441b4acff90047d9a7903e6be2d9bea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2303",
    "kind": "arxiv",
    "version": 2
  }
}