Pith Number

pith:5YOWN2A4

pith:2021:5YOWN2A4NQMWHNSRLVYV4SMXHK

not attested not anchored not stored refs pending

Pursuing Stacks

Alexander Grothendieck

arxiv:2111.01000 v2 · 2021-11-01 · math.CT · 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{5YOWN2A4NQMWHNSRLVYV4SMXHK}

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	2026-07-05T03:33:50.984170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee1d66e81c6c1963b6515d715e49973a8265a1ccf08719721d416714ef0df4cc

Aliases

arxiv: 2111.01000 · arxiv_version: 2111.01000v2 · doi: 10.48550/arxiv.2111.01000 · pith_short_12: 5YOWN2A4NQMW · pith_short_16: 5YOWN2A4NQMWHNSR · pith_short_8: 5YOWN2A4

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/5YOWN2A4NQMWHNSRLVYV4SMXHK \
  | 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: ee1d66e81c6c1963b6515d715e49973a8265a1ccf08719721d416714ef0df4cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bfeba904eea757f78e0855c347c621a9e34b3252d926af50ad0251501f52c27",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2021-11-01T15:01:28Z",
    "title_canon_sha256": "12fdd0b27f5e1c2ea2e945dbb4125bce7a3cee560231247c253356438db1efe6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.01000",
    "kind": "arxiv",
    "version": 2
  }
}