Pith Number

pith:ITU726Z7

pith:2007:ITU726Z7CJHSS4IMFV37ZUIERL

not attested not anchored not stored refs pending

Lecture Notes on Equivariant Cohomology

Matvei Libine

arxiv:0709.3615 v3 · 2007-09-23 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ITU726Z7CJHSS4IMFV37ZUIERL}

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	2026-07-04T17:29:52.731519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44e9fd7b3f124f29710c2d77fcd1048ae706dbb91899f8d73a6e1e8fab669f7f

Aliases

arxiv: 0709.3615 · arxiv_version: 0709.3615v3 · doi: 10.48550/arxiv.0709.3615 · pith_short_12: ITU726Z7CJHS · pith_short_16: ITU726Z7CJHSS4IM · pith_short_8: ITU726Z7

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/ITU726Z7CJHSS4IMFV37ZUIERL \
  | 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: 44e9fd7b3f124f29710c2d77fcd1048ae706dbb91899f8d73a6e1e8fab669f7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff477a32d0da9cd86630be4d10218967990f745682d73abb6b46a23b3503625e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2007-09-23T02:59:01Z",
    "title_canon_sha256": "ef1f6d1921418d8048ad0ad1234a833ae3b95caa68535a9add369b0da26ea8c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.3615",
    "kind": "arxiv",
    "version": 3
  }
}