Pith Number

pith:4SPRFNCR

pith:2009:4SPRFNCRVE6SRKPUPWDFFXXQE5

not attested not anchored not stored refs pending

Coherence for weak units

Andr\'e Joyal, Joachim Kock

arxiv:0907.4553 v1 · 2009-07-27 · 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{4SPRFNCRVE6SRKPUPWDFFXXQE5}

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	2026-05-18T02:47:51.478017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e49f12b451a93d28a9f47d8652def027498ada2b7f26ecc6294b6c30619d6ebb

Aliases

arxiv: 0907.4553 · arxiv_version: 0907.4553v1 · doi: 10.48550/arxiv.0907.4553 · pith_short_12: 4SPRFNCRVE6S · pith_short_16: 4SPRFNCRVE6SRKPU · pith_short_8: 4SPRFNCR

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/4SPRFNCRVE6SRKPUPWDFFXXQE5 \
  | 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: e49f12b451a93d28a9f47d8652def027498ada2b7f26ecc6294b6c30619d6ebb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22da63819b399b58d0dd7abe2fcd328914a59013ae8aa0b7046e7c123ffb105e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2009-07-27T06:59:09Z",
    "title_canon_sha256": "cbc73b1976466e365c54a1e5ee88d05f7701a14dd2f24b3d59678b3b4429375d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4553",
    "kind": "arxiv",
    "version": 1
  }
}