Pith Number

pith:UUNIQQ6B

pith:2012:UUNIQQ6BCU2VRLXGOEA4IK3SN5

not attested not anchored not stored refs pending

Recognizing destabilization, exchange moves and flypes

William W. Menasco

arxiv:1201.5436 v1 · 2012-01-26 · math.GT · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UUNIQQ6BCU2VRLXGOEA4IK3SN5}

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	2026-05-18T04:03:54.041326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a51a8843c1153558aee67101c42b726f680663eee9612033cf77a6c5693a5885

Aliases

arxiv: 1201.5436 · arxiv_version: 1201.5436v1 · doi: 10.48550/arxiv.1201.5436 · pith_short_12: UUNIQQ6BCU2V · pith_short_16: UUNIQQ6BCU2VRLXG · pith_short_8: UUNIQQ6B

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/UUNIQQ6BCU2VRLXGOEA4IK3SN5 \
  | 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: a51a8843c1153558aee67101c42b726f680663eee9612033cf77a6c5693a5885

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "345783c4f119aa33293750559fcf95c2eab6e5291736a9c0a03a684708322ac9",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-01-26T03:49:02Z",
    "title_canon_sha256": "acc6314bd11712a8c2d6a453b9d149c45b7158b80504c7214dbad638f2f8e87d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5436",
    "kind": "arxiv",
    "version": 1
  }
}