Pith Number

pith:FGU5OTUL

pith:2013:FGU5OTULI2HRGTSLPB6OGRYMOY

not attested not anchored not stored refs pending

Diagonal approximation and the cohomology ring of torus fiber bundles

S\'ergio Tadao Martins

arxiv:1307.0518 v1 · 2013-07-01 · math.AT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FGU5OTULI2HRGTSLPB6OGRYMOY}

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	2026-05-18T03:19:25.400177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29a9d74e8b468f134e4b787ce3470c7619d0ed327f5837b6220c5d880e767b70

Aliases

arxiv: 1307.0518 · arxiv_version: 1307.0518v1 · doi: 10.48550/arxiv.1307.0518 · pith_short_12: FGU5OTULI2HR · pith_short_16: FGU5OTULI2HRGTSL · pith_short_8: FGU5OTUL

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/FGU5OTULI2HRGTSLPB6OGRYMOY \
  | 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: 29a9d74e8b468f134e4b787ce3470c7619d0ed327f5837b6220c5d880e767b70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b17123ab5d1f7db589a75357c9d1cc534822a28f1bdf92ec7041a53a1e59724",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-07-01T20:18:51Z",
    "title_canon_sha256": "0886048da6206a63e8c183ad87a026148f11e0a57be082a0339c477c4780d906"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0518",
    "kind": "arxiv",
    "version": 1
  }
}