Pith Number

pith:PQFMD2NQ

pith:2010:PQFMD2NQH4R7ULFMYNO3FOWTAY

not attested not anchored not stored refs pending

Quantum traces for representations of surface groups in SL_2

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

arxiv:1003.5250 v4 · 2010-03-27 · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PQFMD2NQH4R7ULFMYNO3FOWTAY}

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.

Cited by

2 papers in Pith

Quantized Geodesic Lengths for Teichm\"uller Spaces: Algebraic Aspects

Kauffman bracket skein module of the connected sum of two solid tori

Receipt and verification

First computed	2026-05-18T00:09:10.671971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c0ac1e9b03f23fa2cacc35db2bad30602c5867ff9e1c76acdf6a68734295746

Aliases

arxiv: 1003.5250 · arxiv_version: 1003.5250v4 · doi: 10.48550/arxiv.1003.5250 · pith_short_12: PQFMD2NQH4R7 · pith_short_16: PQFMD2NQH4R7ULFM · pith_short_8: PQFMD2NQ

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/PQFMD2NQH4R7ULFMYNO3FOWTAY \
  | 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: 7c0ac1e9b03f23fa2cacc35db2bad30602c5867ff9e1c76acdf6a68734295746

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b724c6a4b214bdbe4bbe0894545c1dce7c4a3604e8607076365c387ad454e2a",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-03-27T00:32:40Z",
    "title_canon_sha256": "45d7f9f21cef4a3af0f2e660fc71ef1559a0b29e42ac7bd33c4ee8b0628aa98f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5250",
    "kind": "arxiv",
    "version": 4
  }
}