Pith Number

pith:3NEBMYIM

pith:1994:3NEBMYIMUYA5NX46JJ55VHNN6O

not attested not anchored not stored refs pending

Can you feel the double jump?

Joel Spencer, Saharon Shelah

arxiv:math/9401211 v1 · 1994-01-15 · math.LO · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3NEBMYIMUYA5NX46JJ55VHNN6O}

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	2026-05-18T01:05:51.716768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db4816610ca601d6df9e4a7bda9dadf39b2efbd9bcb91f597949f95af6c7e8fb

Aliases

arxiv: math/9401211 · arxiv_version: math/9401211v1 · doi: 10.48550/arxiv.math/9401211 · pith_short_12: 3NEBMYIMUYA5 · pith_short_16: 3NEBMYIMUYA5NX46 · pith_short_8: 3NEBMYIM

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/3NEBMYIMUYA5NX46JJ55VHNN6O \
  | 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: db4816610ca601d6df9e4a7bda9dadf39b2efbd9bcb91f597949f95af6c7e8fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4373b36875eaf89e93a1abd3b365ba2283fc0bdc08a8caf2b7fd5e0cf35bdd57",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1994-01-15T00:00:00Z",
    "title_canon_sha256": "63d6503489ff6220db9bec9ba61fe019d0c56a42822043af436a0cb6e446cf2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9401211",
    "kind": "arxiv",
    "version": 1
  }
}