Pith Number

pith:CQ32R3A2

pith:2017:CQ32R3A2RC5Z4DBTZIZ5HBEFKK

not attested not anchored not stored refs pending

A Homological Theory of Functions

Greg Yang

arxiv:1701.02302 v3 · 2017-01-09 · math.AC · cs.CC · cs.DM · cs.LG · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CQ32R3A2RC5Z4DBTZIZ5HBEFKK}

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.

Cited by

1 paper in Pith

Free resolutions of function classes via order complexes

Receipt and verification

First computed	2026-05-18T00:46:51.395695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1437a8ec1a88bb9e0c33ca33d384855291ffb7652d082d5c76d92e5160e81b6d

Aliases

arxiv: 1701.02302 · arxiv_version: 1701.02302v3 · doi: 10.48550/arxiv.1701.02302 · pith_short_12: CQ32R3A2RC5Z · pith_short_16: CQ32R3A2RC5Z4DBT · pith_short_8: CQ32R3A2

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/CQ32R3A2RC5Z4DBTZIZ5HBEFKK \
  | 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: 1437a8ec1a88bb9e0c33ca33d384855291ffb7652d082d5c76d92e5160e81b6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "758c85806d53ab7353a6d040c3b8466899e77eed35cdbf7a84a5f5f859bc8b11",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DM",
      "cs.LG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-01-09T18:58:27Z",
    "title_canon_sha256": "bd3e005eb07588f97d5bea856fd96ecd52792cb2415645b877977f3930160ed2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02302",
    "kind": "arxiv",
    "version": 3
  }
}