Pith Number

pith:PWPCUU6S

pith:2012:PWPCUU6S22AOXUTKN23L36Z5FR

not attested not anchored not stored refs pending

Equivalence Classes of Colorings

Jun Ge, Louis H. Kauffman, Pedro Lopes, Slavik Jablan

arxiv:1208.0993 v3 · 2012-08-05 · 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{PWPCUU6S22AOXUTKN23L36Z5FR}

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	2026-05-18T00:44:46.436281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d9e2a53d2d680ebd26a6eb6bdfb3d2c7c000d780b9aa27e0f8b84abd5b5668f

Aliases

arxiv: 1208.0993 · arxiv_version: 1208.0993v3 · doi: 10.48550/arxiv.1208.0993 · pith_short_12: PWPCUU6S22AO · pith_short_16: PWPCUU6S22AOXUTK · pith_short_8: PWPCUU6S

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/PWPCUU6S22AOXUTKN23L36Z5FR \
  | 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: 7d9e2a53d2d680ebd26a6eb6bdfb3d2c7c000d780b9aa27e0f8b84abd5b5668f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2a60eb75cf8db10a7bb6c7a2b31f9aa21bc17631998b01c54d1c0daad241614",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-08-05T09:14:42Z",
    "title_canon_sha256": "6fc5a8262f739c781c391f2de717424d02ad0131ccb4cb9704a9eec428ebc25d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0993",
    "kind": "arxiv",
    "version": 3
  }
}