Pith Number

pith:GMNWCX7C

pith:2020:GMNWCX7CI72BW7T2GT6ZLWIKC4

not attested not anchored not stored refs pending

Why is Homology so Powerful?

Jade Master

arxiv:2001.00314 v2 · 2020-01-02 · math.AT · 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{GMNWCX7CI72BW7T2GT6ZLWIKC4}

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	2026-07-05T00:44:42.136438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

331b615fe247f41b7e7a34fd95d90a170a2c399fcb65993a0ccabdbaaf07b54a

Aliases

arxiv: 2001.00314 · arxiv_version: 2001.00314v2 · doi: 10.48550/arxiv.2001.00314 · pith_short_12: GMNWCX7CI72B · pith_short_16: GMNWCX7CI72BW7T2 · pith_short_8: GMNWCX7C

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/GMNWCX7CI72BW7T2GT6ZLWIKC4 \
  | 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: 331b615fe247f41b7e7a34fd95d90a170a2c399fcb65993a0ccabdbaaf07b54a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d68367cf796f5fb3e47fb73b59dabc34eef4208ba1171e7f59ed80f70556bc8",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2020-01-02T03:43:15Z",
    "title_canon_sha256": "2e67855d07c858a37fa29960c66007ef206f6266dc6d47ceaa5d6ea95897952f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.00314",
    "kind": "arxiv",
    "version": 2
  }
}