Pith Number

pith:JNSCWHAR

pith:2015:JNSCWHARHFKZGU3CVY7WAIPYSG

not attested not anchored not stored refs pending

Fields definable in the free group

Ayala Byron, Rizos Sklinos

arxiv:1512.07922 v1 · 2015-12-24 · math.LO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JNSCWHARHFKZGU3CVY7WAIPYSG}

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	2026-05-18T01:23:43.929338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b642b1c113955935362ae3f6021f89181026d2f425abd8947ab37e958a19620

Aliases

arxiv: 1512.07922 · arxiv_version: 1512.07922v1 · doi: 10.48550/arxiv.1512.07922 · pith_short_12: JNSCWHARHFKZ · pith_short_16: JNSCWHARHFKZGU3C · pith_short_8: JNSCWHAR

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/JNSCWHARHFKZGU3CVY7WAIPYSG \
  | 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: 4b642b1c113955935362ae3f6021f89181026d2f425abd8947ab37e958a19620

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf925de5e954f5e76aa08d445962159120a3d09815e886b8a793875dc1f1df80",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-12-24T21:21:33Z",
    "title_canon_sha256": "a4b8c95076b84fb195a80e2232d63a153c68a6cf170cc38be23a37a677e4eb85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07922",
    "kind": "arxiv",
    "version": 1
  }
}