Pith Number

pith:VTFDYFO6

pith:2021:VTFDYFO6POTQYTPNQUT3GBJTI3

not attested not anchored not stored refs pending

Functorial aggregation

Aaron David Fairbanks, David I. Spivak, Richard Garner

arxiv:2111.10968 v7 · 2021-11-22 · math.CT · cs.DB

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VTFDYFO6POTQYTPNQUT3GBJTI3}

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	2026-05-25T02:00:59.781848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acca3c15de7ba70c4ded8527b3053346d44a3b5a968d9bca762d001fe6782280

Aliases

arxiv: 2111.10968 · arxiv_version: 2111.10968v7 · doi: 10.48550/arxiv.2111.10968 · pith_short_12: VTFDYFO6POTQ · pith_short_16: VTFDYFO6POTQYTPN · pith_short_8: VTFDYFO6

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/VTFDYFO6POTQYTPNQUT3GBJTI3 \
  | 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: acca3c15de7ba70c4ded8527b3053346d44a3b5a968d9bca762d001fe6782280

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bae4b1b29298591b38aaf630bd5b385be0c3e1b99b061de47f75e0b3c3fddce3",
    "cross_cats_sorted": [
      "cs.DB"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2021-11-22T03:13:42Z",
    "title_canon_sha256": "bef45ba6f1fdd826877933ef1b9c326f5866fac3d6dc3cb6f160e27c90d7372f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.10968",
    "kind": "arxiv",
    "version": 7
  }
}