Pith Number

pith:D6KHKXSZ

pith:2007:D6KHKXSZ52BH77WXUDCCUGPQTI

not attested not anchored not stored refs pending

Sheaves as modules

Elias Rodrigues, Pedro Resende

arxiv:0711.4401 v2 · 2007-11-28 · math.CT · math.GN · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D6KHKXSZ52BH77WXUDCCUGPQTI}

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	2026-05-18T03:58:51.991573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f94755e59ee827ffed7a0c42a19f09a0f71e679608271cf5a6d4870f94192a4

Aliases

arxiv: 0711.4401 · arxiv_version: 0711.4401v2 · doi: 10.48550/arxiv.0711.4401 · pith_short_12: D6KHKXSZ52BH · pith_short_16: D6KHKXSZ52BH77WX · pith_short_8: D6KHKXSZ

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/D6KHKXSZ52BH77WXUDCCUGPQTI \
  | 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: 1f94755e59ee827ffed7a0c42a19f09a0f71e679608271cf5a6d4870f94192a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "277dd647e00a222cdcbcaa2583093a700aa3b7541d05ca76241c35309f62bb2f",
    "cross_cats_sorted": [
      "math.GN",
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.CT",
    "submitted_at": "2007-11-28T10:54:05Z",
    "title_canon_sha256": "855024f4962e96d65450c23c11e49276f5fb6936de61111a48f170a17cb1a6a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.4401",
    "kind": "arxiv",
    "version": 2
  }
}