Pith Number

pith:Y7GJ2MUJ

pith:2016:Y7GJ2MUJU3MBPWMGY6HKYQXLCE

not attested not anchored not stored refs pending

Cone avoiding closed sets

Lu Liu

arxiv:1602.03777 v1 · 2016-02-11 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y7GJ2MUJU3MBPWMGY6HKYQXLCE}

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	2026-05-18T01:20:56.576312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7cc9d3289a6d817d986c78eac42eb110a996396b4612005ec820d1b5cee95c6

Aliases

arxiv: 1602.03777 · arxiv_version: 1602.03777v1 · doi: 10.48550/arxiv.1602.03777 · pith_short_12: Y7GJ2MUJU3MB · pith_short_16: Y7GJ2MUJU3MBPWMG · pith_short_8: Y7GJ2MUJ

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/Y7GJ2MUJU3MBPWMGY6HKYQXLCE \
  | 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: c7cc9d3289a6d817d986c78eac42eb110a996396b4612005ec820d1b5cee95c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd5f999d4be9f998c58589dce53d64831e1f963f7ea6ad1187d1c1b01c48e9bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-02-11T15:54:58Z",
    "title_canon_sha256": "bfd3e5d08d0ed97c60df704840cbf0e2dbaa6d02e5c4a2d5a214e887f2ddaf47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03777",
    "kind": "arxiv",
    "version": 1
  }
}