Pith Number

pith:VXPFEIAY

pith:2007:VXPFEIAYUN3MQO6DJBFF2K5ZGV

not attested not anchored not stored refs pending

Pentagon and hexagon equations

Hidekazu Furusho

arxiv:math/0702128 v3 · 2007-02-06 · math.QA · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VXPFEIAYUN3MQO6DJBFF2K5ZGV}

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	2026-05-18T04:15:36.357719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adde522018a376c83bc3484a5d2bb935576905dbe2ea3a0680281a2e809338c0

Aliases

arxiv: math/0702128 · arxiv_version: math/0702128v3 · doi: 10.48550/arxiv.math/0702128 · pith_short_12: VXPFEIAYUN3M · pith_short_16: VXPFEIAYUN3MQO6D · pith_short_8: VXPFEIAY

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/VXPFEIAYUN3MQO6DJBFF2K5ZGV \
  | 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: adde522018a376c83bc3484a5d2bb935576905dbe2ea3a0680281a2e809338c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "843d0b53a6b9fb5a6a3acdc4c512a4132e68282c7312ef44ed9b39f56d9ccab9",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2007-02-06T00:48:19Z",
    "title_canon_sha256": "e2db6833e244cbfa32f14e5a363101c8150f09659c318fdce2fc92fb303974ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702128",
    "kind": "arxiv",
    "version": 3
  }
}