Pith Number

pith:NSN5VP6J

pith:2011:NSN5VP6JXKC4F4BNVNTFIQHZ65

not attested not anchored not stored refs pending

Reducts of the random bipartite graph

Yun Lu

arxiv:1101.1947 v2 · 2011-01-10 · 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{NSN5VP6JXKC4F4BNVNTFIQHZ65}

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	2026-05-18T01:21:05.901247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c9bdabfc9ba85c2f02dab665440f9f75dda6465271ef7aa366fa3da8a648a23

Aliases

arxiv: 1101.1947 · arxiv_version: 1101.1947v2 · doi: 10.48550/arxiv.1101.1947 · pith_short_12: NSN5VP6JXKC4 · pith_short_16: NSN5VP6JXKC4F4BN · pith_short_8: NSN5VP6J

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/NSN5VP6JXKC4F4BNVNTFIQHZ65 \
  | 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: 6c9bdabfc9ba85c2f02dab665440f9f75dda6465271ef7aa366fa3da8a648a23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "322347ed70b9095172271889792e0d0b7111abae2d623fa20cb0d1422b33dade",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-01-10T20:46:40Z",
    "title_canon_sha256": "e4fbf1b6b7b05b02d061c0dbea088987358c211ad99bf04001c332e976abaf5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1947",
    "kind": "arxiv",
    "version": 2
  }
}