Pith Number

pith:UGPOABSH

pith:2011:UGPOABSHTE4PS6BENVUGRTULZW

not attested not anchored not stored refs pending

Nahm sums, stability and the colored Jones polynomial

Stavros Garoufalidis, Thang T.Q. Le

arxiv:1112.3905 v2 · 2011-12-16 · math.GT · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UGPOABSHTE4PS6BENVUGRTULZW}

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

1 paper in Pith

Modular resurgent structures for vectors

Receipt and verification

First computed	2026-05-18T03:55:37.242019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a19ee006479938f978246d6868ce8bcda4a8834a42a33b81717af9cc06a12045

Aliases

arxiv: 1112.3905 · arxiv_version: 1112.3905v2 · doi: 10.48550/arxiv.1112.3905 · pith_short_12: UGPOABSHTE4P · pith_short_16: UGPOABSHTE4PS6BE · pith_short_8: UGPOABSH

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/UGPOABSHTE4PS6BENVUGRTULZW \
  | 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: a19ee006479938f978246d6868ce8bcda4a8834a42a33b81717af9cc06a12045

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e16a301648267802afca631babd93d6547e78b2ce571da736ecc34a739325815",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-12-16T17:59:20Z",
    "title_canon_sha256": "5e8a456d032ddd9fa03967110cdf59d0672acf8099ab4e05255cf8e8246bfb0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3905",
    "kind": "arxiv",
    "version": 2
  }
}