Pith Number

pith:D2CYAH7E

pith:2014:D2CYAH7EJJS7Z2E74TVVI4K2KU

not attested not anchored not stored refs pending

Rational approximations of sectional category and Poincar\'e duality

Jos\'e Gabriel Carrasquel-Vera, Lucile Vandembroucq, Thomas Kahl

arxiv:1410.1689 v1 · 2014-10-07 · 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{D2CYAH7EJJS7Z2E74TVVI4K2KU}

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	2026-05-18T02:40:55.051236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e85801fe44a65fce89fe4eb54715a551251c441a61c7e9ca441bbd58920d940

Aliases

arxiv: 1410.1689 · arxiv_version: 1410.1689v1 · doi: 10.48550/arxiv.1410.1689 · pith_short_12: D2CYAH7EJJS7 · pith_short_16: D2CYAH7EJJS7Z2E7 · pith_short_8: D2CYAH7E

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/D2CYAH7EJJS7Z2E74TVVI4K2KU \
  | 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: 1e85801fe44a65fce89fe4eb54715a551251c441a61c7e9ca441bbd58920d940

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a77fedff26cc511e0e2ae039a593cc31c656e2aaa955dbf715aeba0c4e922c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-10-07T11:31:41Z",
    "title_canon_sha256": "3ce3237028ea7b226ddd39b68c04a2c932f6d8c497508ae3794632ed3a8536b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1689",
    "kind": "arxiv",
    "version": 1
  }
}