Pith Number

pith:5C6JLWGV

pith:2012:5C6JLWGVPFF4XEOXTQN7FMEOYZ

not attested not anchored not stored refs pending

On colimits and elementary embeddings

Andrew Brooke-Taylor, Joan Bagaria

arxiv:1202.5215 v1 · 2012-02-23 · math.LO · 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{5C6JLWGVPFF4XEOXTQN7FMEOYZ}

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	2026-05-18T02:41:26.415393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8bc95d8d5794bcb91d79c1bf2b08ec66cdbf9c9e42fd2f6ab77b47a1ddc7d08

Aliases

arxiv: 1202.5215 · arxiv_version: 1202.5215v1 · doi: 10.48550/arxiv.1202.5215 · pith_short_12: 5C6JLWGVPFF4 · pith_short_16: 5C6JLWGVPFF4XEOX · pith_short_8: 5C6JLWGV

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/5C6JLWGVPFF4XEOXTQN7FMEOYZ \
  | 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: e8bc95d8d5794bcb91d79c1bf2b08ec66cdbf9c9e42fd2f6ab77b47a1ddc7d08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59f93ea596fa32de9f9a143a470e4d043c814c100a21b16596a4d9569f728d5b",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-02-23T15:51:43Z",
    "title_canon_sha256": "bb7698ccfc7e0fe9588a2c8663158bc07ff31b4750df47667862918ba995b144"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5215",
    "kind": "arxiv",
    "version": 1
  }
}