Pith Number

pith:GC2KWFFR

pith:2022:GC2KWFFRQC5WU2W6P2GTAB2JLI

not attested not anchored not stored refs pending

Reflexive homology

Daniel Graves

arxiv:2204.07985 v3 · 2022-04-17 · 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{GC2KWFFRQC5WU2W6P2GTAB2JLI}

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	2026-07-05T09:37:28.444127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30b4ab14b180bb6a6ade7e8d3007495a0b1366e9ebb2b1e3ce06625ddf858bfc

Aliases

arxiv: 2204.07985 · arxiv_version: 2204.07985v3 · doi: 10.48550/arxiv.2204.07985 · pith_short_12: GC2KWFFRQC5W · pith_short_16: GC2KWFFRQC5WU2W6 · pith_short_8: GC2KWFFR

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/GC2KWFFRQC5WU2W6P2GTAB2JLI \
  | 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: 30b4ab14b180bb6a6ade7e8d3007495a0b1366e9ebb2b1e3ce06625ddf858bfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "635bfbb86034b51a0419baab8fb15991557d4797554b9c734ab46c3671ee533a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2022-04-17T11:58:49Z",
    "title_canon_sha256": "a2448a057a7c903f9a3e62f2f2f9fcf0ecc027e0f14244ccf8fb34c6a74fc2e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.07985",
    "kind": "arxiv",
    "version": 3
  }
}