Pith Number

pith:ODVJN4KM

pith:2008:ODVJN4KM5VMGUQI5TDIHQAITEO

not attested not anchored not stored refs pending

Groupoid sheaves as quantale sheaves

Pedro Resende

arxiv:0807.4848 v3 · 2008-07-30 · math.RA · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ODVJN4KM5VMGUQI5TDIHQAITEO}

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	2026-05-18T04:16:32.497974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70ea96f14ced586a411d98d0780113238528f14214fc105b6bd0b054f51686b0

Aliases

arxiv: 0807.4848 · arxiv_version: 0807.4848v3 · doi: 10.48550/arxiv.0807.4848 · pith_short_12: ODVJN4KM5VMG · pith_short_16: ODVJN4KM5VMGUQI5 · pith_short_8: ODVJN4KM

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/ODVJN4KM5VMGUQI5TDIHQAITEO \
  | 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: 70ea96f14ced586a411d98d0780113238528f14214fc105b6bd0b054f51686b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afae474fb13951794cdb73116d16ee01f1fa49be7122dfbabb4b14751ee9a4b5",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2008-07-30T12:18:54Z",
    "title_canon_sha256": "babd83fdcd3318697bc401a631fa745adb9c16d6bfc9530008793de93462c344"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.4848",
    "kind": "arxiv",
    "version": 3
  }
}