Pith Number

pith:KS2QQ4GZ

pith:2013:KS2QQ4GZYK7VRDHLMNQ3RQKNVL

not attested not anchored not stored refs pending

The Necessity of Nowhere Equivalence

Wei He, Yeneng Sun

arxiv:1307.7168 v2 · 2013-07-26 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KS2QQ4GZYK7VRDHLMNQ3RQKNVL}

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	2026-05-18T00:28:41.596187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54b50870d9c2bf588ceb6361b8c14daac278e2e28c3a44d8a4a3477f8026319f

Aliases

arxiv: 1307.7168 · arxiv_version: 1307.7168v2 · doi: 10.48550/arxiv.1307.7168 · pith_short_12: KS2QQ4GZYK7V · pith_short_16: KS2QQ4GZYK7VRDHL · pith_short_8: KS2QQ4GZ

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/KS2QQ4GZYK7VRDHLMNQ3RQKNVL \
  | 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: 54b50870d9c2bf588ceb6361b8c14daac278e2e28c3a44d8a4a3477f8026319f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3b724812bf7df8571be99644d60745e70778aedb8b9c12f1c7a2c5075bba8d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-26T21:09:59Z",
    "title_canon_sha256": "2f7f6ff6fad381cfc13603b7083aebf1baaee9f64dec1f2306de7ed859c74c06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7168",
    "kind": "arxiv",
    "version": 2
  }
}