Pith Number

pith:27BRBUCF

pith:2009:27BRBUCFZKDNSTVAEGU5ZAU4XX

not attested not anchored not stored refs pending

Formal extension of the Whitney functor and duality

Ana Rita Martins, Teresa Monteiro Fernandes

arxiv:0910.4180 v4 · 2009-10-22 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{27BRBUCFZKDNSTVAEGU5ZAU4XX}

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	2026-05-18T04:19:33.579684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7c310d045ca86d94ea021a9dc829cbde7ceaa58bb939ca3a48c3a7f56e272e2

Aliases

arxiv: 0910.4180 · arxiv_version: 0910.4180v4 · doi: 10.48550/arxiv.0910.4180 · pith_short_12: 27BRBUCFZKDN · pith_short_16: 27BRBUCFZKDNSTVA · pith_short_8: 27BRBUCF

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/27BRBUCFZKDNSTVAEGU5ZAU4XX \
  | 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: d7c310d045ca86d94ea021a9dc829cbde7ceaa58bb939ca3a48c3a7f56e272e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8118bafaee4b4767f0d0a5d7fb366fcf835601a65a37ef3c140cca2b99f3403c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-10-22T09:39:25Z",
    "title_canon_sha256": "9c14fdfc472b662eb67c0204074aea22c8b5b39d9366b16cef8863dcce4d97c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.4180",
    "kind": "arxiv",
    "version": 4
  }
}