Pith Number

pith:ZIG4WM6X

pith:2012:ZIG4WM6XSRNRAGPU35VPMUVJWC

not attested not anchored not stored refs pending

BPS spectrum, wall crossing and quantum dilogarithm identity

Dan Xie

arxiv:1211.7071 v1 · 2012-11-29 · hep-th · math.AG · math.CO · 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{ZIG4WM6XSRNRAGPU35VPMUVJWC}

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	2026-05-18T03:39:41.097168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca0dcb33d7945b1019f4df6af652a9b0b9c34db9003acb28cffadeaa0f6732e1

Aliases

arxiv: 1211.7071 · arxiv_version: 1211.7071v1 · doi: 10.48550/arxiv.1211.7071 · pith_short_12: ZIG4WM6XSRNR · pith_short_16: ZIG4WM6XSRNRAGPU · pith_short_8: ZIG4WM6X

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/ZIG4WM6XSRNRAGPU35VPMUVJWC \
  | 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: ca0dcb33d7945b1019f4df6af652a9b0b9c34db9003acb28cffadeaa0f6732e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afd0aa03cd545dd4f24c79df4e4fcab41ee2573cf198b1df065edeea7abb9a6b",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-11-29T21:00:15Z",
    "title_canon_sha256": "633063058361712a2202cb49c6bfc9324ff94649383551a4a86f5e6b54f2d01a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7071",
    "kind": "arxiv",
    "version": 1
  }
}