Pith Number

pith:2ZCBKJ6G

pith:2016:2ZCBKJ6GPFC7YTVR7QTJ7PA56C

not attested not anchored not stored refs pending

Large subsets of Local Fields not containing Configurations

Robert Fraser

arxiv:1612.08231 v3 · 2016-12-25 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ZCBKJ6GPFC7YTVR7QTJ7PA56C}

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	2026-05-17T23:58:15.115073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6441527c67945fc4eb1fc269fbc1df09c269e1c993fc185a4e4949821db81d7

Aliases

arxiv: 1612.08231 · arxiv_version: 1612.08231v3 · doi: 10.48550/arxiv.1612.08231 · pith_short_12: 2ZCBKJ6GPFC7 · pith_short_16: 2ZCBKJ6GPFC7YTVR · pith_short_8: 2ZCBKJ6G

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/2ZCBKJ6GPFC7YTVR7QTJ7PA56C \
  | 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: d6441527c67945fc4eb1fc269fbc1df09c269e1c993fc185a4e4949821db81d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "174f6b2bb2f075746c9356de7e2b03c8bbe370940286a56469796c8307478645",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-12-25T02:32:41Z",
    "title_canon_sha256": "1b69629bedf7371e2da33b5b7defd61a953448f6baf738165c3ab5e03b2f301b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08231",
    "kind": "arxiv",
    "version": 3
  }
}