Pith Number

pith:CK7EQYDQ

pith:2017:CK7EQYDQ76D4DB3NDIREYCZNHP

not attested not anchored not stored refs pending

Independent Natural Extension for Infinite Spaces: Williams-Coherence to the Rescue

Jasper De Bock

arxiv:1701.07295 v6 · 2017-01-25 · 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{CK7EQYDQ76D4DB3NDIREYCZNHP}

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	2026-05-18T00:17:09.472001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12be486070ff87c1876d1a224c0b2d3be2ec5604f8e25df0926923e7e1cc96f9

Aliases

arxiv: 1701.07295 · arxiv_version: 1701.07295v6 · doi: 10.48550/arxiv.1701.07295 · pith_short_12: CK7EQYDQ76D4 · pith_short_16: CK7EQYDQ76D4DB3N · pith_short_8: CK7EQYDQ

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/CK7EQYDQ76D4DB3NDIREYCZNHP \
  | 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: 12be486070ff87c1876d1a224c0b2d3be2ec5604f8e25df0926923e7e1cc96f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b42cbfe200caf9da01e1033ae11eb08437b8696e4a76cd1883e7d65f6cc363d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-01-25T13:12:39Z",
    "title_canon_sha256": "643bf8d52e4ce10343e7611eb57ac3c5b8b6e87318189970ff3b366c76e894ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07295",
    "kind": "arxiv",
    "version": 6
  }
}