Pith Number

pith:GXWENDVF

pith:2002:GXWENDVFV5ONZZRPR76E5XL4PG

not attested not anchored not stored refs pending

Period three actions on the three-sphere

J. Hyam Rubinstein, Joseph Maher

arxiv:math/0204077 v2 · 2002-04-06 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GXWENDVFV5ONZZRPR76E5XL4PG}

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	2026-05-18T02:38:00.657498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35ec468ea5af5cdce62f8ffc4edd7c79be679ae879ec3c191e492497605764a9

Aliases

arxiv: math/0204077 · arxiv_version: math/0204077v2 · doi: 10.48550/arxiv.math/0204077 · pith_short_12: GXWENDVFV5ON · pith_short_16: GXWENDVFV5ONZZRP · pith_short_8: GXWENDVF

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/GXWENDVFV5ONZZRPR76E5XL4PG \
  | 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: 35ec468ea5af5cdce62f8ffc4edd7c79be679ae879ec3c191e492497605764a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7affecdc1e2af092c785efaefcea8dafdc0f17843ddee43bfabb5d9746624d27",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2002-04-06T10:04:47Z",
    "title_canon_sha256": "6b723af2ef8bd94880174de5a2fcb27368d2bbbd092138cc4c8e8f84e20c5a1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0204077",
    "kind": "arxiv",
    "version": 2
  }
}