Pith Number

pith:6G7TZE7C

pith:2013:6G7TZE7CRU4MMBZLMWZ7JZXDSI

not attested not anchored not stored refs pending

Relations among characteristic classes of manifold bundles

Ilya Grigoriev

arxiv:1310.6804 v3 · 2013-10-25 · 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{6G7TZE7CRU4MMBZLMWZ7JZXDSI}

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	2026-05-18T00:42:33.694997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1bf3c93e28d38c6072b65b3f4e6e3921e49b03378d69fb5b37152b23f8f3c73

Aliases

arxiv: 1310.6804 · arxiv_version: 1310.6804v3 · doi: 10.48550/arxiv.1310.6804 · pith_short_12: 6G7TZE7CRU4M · pith_short_16: 6G7TZE7CRU4MMBZL · pith_short_8: 6G7TZE7C

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/6G7TZE7CRU4MMBZLMWZ7JZXDSI \
  | 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: f1bf3c93e28d38c6072b65b3f4e6e3921e49b03378d69fb5b37152b23f8f3c73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "321e24f099e01945558b02a7b1b45da824df2cf959b699a609c337084328e5f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-10-25T02:15:15Z",
    "title_canon_sha256": "93b073fc22401d018fefd9c723c0a0d9b63eeaa56be9687747c847672e1c1353"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6804",
    "kind": "arxiv",
    "version": 3
  }
}