Pith Number

pith:O4YVE3C5

pith:2016:O4YVE3C55QILZQDH7BE2KNXKZI

not attested not anchored not stored refs pending

Affine-compact functors

Joseph Gubeladze

arxiv:1608.04177 v2 · 2016-08-15 · math.CO · 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{O4YVE3C55QILZQDH7BE2KNXKZI}

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	2026-05-18T00:15:42.396825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7731526c5dec10bcc067f849a536eaca2f99f53d80cdd575b0f878386aa70673

Aliases

arxiv: 1608.04177 · arxiv_version: 1608.04177v2 · doi: 10.48550/arxiv.1608.04177 · pith_short_12: O4YVE3C55QIL · pith_short_16: O4YVE3C55QILZQDH · pith_short_8: O4YVE3C5

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/O4YVE3C55QILZQDH7BE2KNXKZI \
  | 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: 7731526c5dec10bcc067f849a536eaca2f99f53d80cdd575b0f878386aa70673

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0b0536c7f3d376b1a176f17de13942cc50ec1a90c4132d7ad62c331e928d574",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-15T04:12:20Z",
    "title_canon_sha256": "6ac842bf95c1f834e435b90b442950531c681836af78aaa70804e2aed42b6844"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04177",
    "kind": "arxiv",
    "version": 2
  }
}