Pith Number

pith:5Q66H7UG

pith:2013:5Q66H7UG4TID2E4AAPCGXSUZYX

not attested not anchored not stored refs pending

Some weak versions of the $M_{1}$-spaces

Fucai Lin, Shou Lin

arxiv:1302.4200 v1 · 2013-02-18 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5Q66H7UG4TID2E4AAPCGXSUZYX}

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	2026-05-18T03:33:23.753522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec3de3fe86e4d03d138003c46bca99c5c1cfa600e5e5100bea195912a9b9bd74

Aliases

arxiv: 1302.4200 · arxiv_version: 1302.4200v1 · doi: 10.48550/arxiv.1302.4200 · pith_short_12: 5Q66H7UG4TID · pith_short_16: 5Q66H7UG4TID2E4A · pith_short_8: 5Q66H7UG

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/5Q66H7UG4TID2E4AAPCGXSUZYX \
  | 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: ec3de3fe86e4d03d138003c46bca99c5c1cfa600e5e5100bea195912a9b9bd74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "448c7c47b47c2fdca4355300f16e0f91dafbe5a66cd0ea44e29afc51159124e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2013-02-18T09:44:46Z",
    "title_canon_sha256": "ab0339cc4a0c48dc755f719b1f28d19ca2ececd14e877ad65e3845cbab4f7c60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4200",
    "kind": "arxiv",
    "version": 1
  }
}