Pith Number

pith:X3H3L37Z

pith:2016:X3H3L37Z622IMLKJ2F6RJ4YDTI

not attested not anchored not stored refs pending

Generalizing the Futurama Theorem

Jennifer Elder, Oscar Vega

arxiv:1608.04809 v1 · 2016-08-16 · 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{X3H3L37Z622IMLKJ2F6RJ4YDTI}

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	2026-05-18T01:08:33.482370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

becfb5eff9f6b4862d49d17d14f3039a07267fa70159f81c5f1948d3c3837291

Aliases

arxiv: 1608.04809 · arxiv_version: 1608.04809v1 · doi: 10.48550/arxiv.1608.04809 · pith_short_12: X3H3L37Z622I · pith_short_16: X3H3L37Z622IMLKJ · pith_short_8: X3H3L37Z

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/X3H3L37Z622IMLKJ2F6RJ4YDTI \
  | 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: becfb5eff9f6b4862d49d17d14f3039a07267fa70159f81c5f1948d3c3837291

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca2046aa465f49b8703d1cc06e2e802d75628669634ef5f20c4aa2cb42741f78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-08-16T23:46:21Z",
    "title_canon_sha256": "037711e3999c6305a43e1cbdf4fa0c5f0cc55e9260a37f4a7a1089e99baf8bd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04809",
    "kind": "arxiv",
    "version": 1
  }
}