Pith Number

pith:LOI2JO5W

pith:2015:LOI2JO5WCABKLGZKH3HKEWIYWA

not attested not anchored not stored refs pending

Equivariant cohomology of (Z_2)^r - manifolds and syzygies

Volker Puppe

arxiv:1512.09064 v2 · 2015-12-30 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LOI2JO5WCABKLGZKH3HKEWIYWA}

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	2026-05-18T00:56:31.437152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b91a4bbb61002a59b2a3ecea25918b0275b809b13353365cbb2d53dfa742ab0

Aliases

arxiv: 1512.09064 · arxiv_version: 1512.09064v2 · doi: 10.48550/arxiv.1512.09064 · pith_short_12: LOI2JO5WCABK · pith_short_16: LOI2JO5WCABKLGZK · pith_short_8: LOI2JO5W

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/LOI2JO5WCABKLGZKH3HKEWIYWA \
  | 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: 5b91a4bbb61002a59b2a3ecea25918b0275b809b13353365cbb2d53dfa742ab0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94f8f779bc1dc65e5b7f0e8dc0dfb00fe5483b8245ebab2c5259017ebfa5d706",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-12-30T19:04:44Z",
    "title_canon_sha256": "154276717a7cf39a3b5949ed59cc4f7f34ba4ff3d37434829ae92425d46a9393"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.09064",
    "kind": "arxiv",
    "version": 2
  }
}