Pith Number

pith:ASUPCEX7

pith:2010:ASUPCEX77IK6CZZTBQOECQKKPZ

not attested not anchored not stored refs pending

Kauffman brackets, character varieties, and triangulations of surfaces

Francis Bonahon (USC), Helen Wong (Carleton College)

arxiv:1009.0084 v1 · 2010-09-01 · 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{ASUPCEX77IK6CZZTBQOECQKKPZ}

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	2026-05-18T00:09:10.663734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04a8f112fffa15e167330c1c41414a7e58e491753e51be1ed03f83532282de45

Aliases

arxiv: 1009.0084 · arxiv_version: 1009.0084v1 · doi: 10.48550/arxiv.1009.0084 · pith_short_12: ASUPCEX77IK6 · pith_short_16: ASUPCEX77IK6CZZT · pith_short_8: ASUPCEX7

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/ASUPCEX77IK6CZZTBQOECQKKPZ \
  | 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: 04a8f112fffa15e167330c1c41414a7e58e491753e51be1ed03f83532282de45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f078dc8ad06e4258ca5a44cbe8ba7ea1a9e8634c8d35f716ffd2801b4c391f95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-09-01T03:58:53Z",
    "title_canon_sha256": "63c73164eeb28d71f49a76bced85f93b3bcadcde84bc366a86fa4422c82ba3b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0084",
    "kind": "arxiv",
    "version": 1
  }
}