Pith Number

pith:O6432BWH

pith:2018:O6432BWHKGVS4JWU4B5JKHTXPK

not attested not anchored not stored refs pending

Quotients of even rings

Dylan Wilson, Jeremy Hahn

arxiv:1809.04723 v1 · 2018-09-13 · 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{O6432BWHKGVS4JWU4B5JKHTXPK}

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	2026-05-18T00:05:49.828386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77b9bd06c751ab2e26d4e07a951e777ab69361459939ded10c41362c1cd07a92

Aliases

arxiv: 1809.04723 · arxiv_version: 1809.04723v1 · doi: 10.48550/arxiv.1809.04723 · pith_short_12: O6432BWHKGVS · pith_short_16: O6432BWHKGVS4JWU · pith_short_8: O6432BWH

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/O6432BWHKGVS4JWU4B5JKHTXPK \
  | 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: 77b9bd06c751ab2e26d4e07a951e777ab69361459939ded10c41362c1cd07a92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ceb123e65e69375447c45ba14b6bda7b6592833b3ebc9ade0708d8e672b8c10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-09-13T00:53:20Z",
    "title_canon_sha256": "fd0357a9730d1d9576206a2f2f3e6298bb2f6e3cc9421bfbf91b0c48331789a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.04723",
    "kind": "arxiv",
    "version": 1
  }
}