Pith Number

pith:NPN5QRHD

pith:2015:NPN5QRHDJSCMLD75QUZZJIZCCA

not attested not anchored not stored refs pending

A Computable Functor From Graphs to Fields

Alexandra Shlapentokh, Bjorn Poonen, Hans Schoutens, Russell Miller

arxiv:1510.07322 v1 · 2015-10-25 · math.LO · math.CT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NPN5QRHDJSCMLD75QUZZJIZCCA}

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	2026-05-18T01:29:14.357733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bdbd844e34c84c58ffd853394a3221015d5f8adca7f17ba7fd11e22c8ad1780

Aliases

arxiv: 1510.07322 · arxiv_version: 1510.07322v1 · doi: 10.48550/arxiv.1510.07322 · pith_short_12: NPN5QRHDJSCM · pith_short_16: NPN5QRHDJSCMLD75 · pith_short_8: NPN5QRHD

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/NPN5QRHDJSCMLD75QUZZJIZCCA \
  | 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: 6bdbd844e34c84c58ffd853394a3221015d5f8adca7f17ba7fd11e22c8ad1780

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56c9bf1ed20c6de707770b8a65c073549f1b36355870e1283c89c760670ca09a",
    "cross_cats_sorted": [
      "math.CT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-10-25T23:01:02Z",
    "title_canon_sha256": "64452edd0ee3415eca09c44d784527e1159dfce36153e0f13a70fd5bf0f712fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07322",
    "kind": "arxiv",
    "version": 1
  }
}