Pith Number

pith:CMVUD7WP

pith:2017:CMVUD7WPNLMTU4MON5PAXDE5SX

not attested not anchored not stored refs pending

It's good to be $\phi$: a solution to a problem of Gosper and Knuth

Franklin H. J. Kenter

arxiv:1712.04856 v2 · 2017-12-12 · math.HO · 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{CMVUD7WPNLMTU4MON5PAXDE5SX}

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	2026-05-18T00:28:01.411094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

132b41fecf6ad93a718e6f5e0b8c9d95f5b9860b6ed5820f1da64aa29541fafe

Aliases

arxiv: 1712.04856 · arxiv_version: 1712.04856v2 · doi: 10.48550/arxiv.1712.04856 · pith_short_12: CMVUD7WPNLMT · pith_short_16: CMVUD7WPNLMTU4MO · pith_short_8: CMVUD7WP

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/CMVUD7WPNLMTU4MON5PAXDE5SX \
  | 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: 132b41fecf6ad93a718e6f5e0b8c9d95f5b9860b6ed5820f1da64aa29541fafe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5acdd24a0d03875adb1e638361c6527f4fc290e60272d7bd141fd1638a1633f2",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2017-12-12T03:10:21Z",
    "title_canon_sha256": "2e45a55d10586dfbc6b62002c51582709b582693b9143f8d26e64e34f76f1393"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04856",
    "kind": "arxiv",
    "version": 2
  }
}