Pith Number

pith:ZQXYGHVH

pith:2012:ZQXYGHVHAZ2IZME2DYHI3OUWUA

not attested not anchored not stored refs pending

A toolkit to describe and interactively display three-manifolds embedded in four-space

Don V. Black

arxiv:1201.5788 v1 · 2012-01-25 · cs.CG · cs.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{ZQXYGHVHAZ2IZME2DYHI3OUWUA}

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	2026-05-18T04:03:44.514227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc2f831ea706748cb09a1e0e8dba96a03d4ab4e0acc8f69db5d69512e3d1f278

Aliases

arxiv: 1201.5788 · arxiv_version: 1201.5788v1 · doi: 10.48550/arxiv.1201.5788 · pith_short_12: ZQXYGHVHAZ2I · pith_short_16: ZQXYGHVHAZ2IZME2 · pith_short_8: ZQXYGHVH

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/ZQXYGHVHAZ2IZME2DYHI3OUWUA \
  | 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: cc2f831ea706748cb09a1e0e8dba96a03d4ab4e0acc8f69db5d69512e3d1f278

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7093c7e2db30288fde7983d69119c152764a67fdc262309e0455e647a220fe7b",
    "cross_cats_sorted": [
      "cs.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2012-01-25T20:18:39Z",
    "title_canon_sha256": "cbfb5a532871819c8b461dacdf971088d238b4e83663724db0252576f058af04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5788",
    "kind": "arxiv",
    "version": 1
  }
}