Pith Number

pith:DPMHZACL

pith:2015:DPMHZACLTLVMJ5BIJ6UTPOOADA

not attested not anchored not stored refs pending

Theta series, wall-crossing and quantum dilogarithm identities

Boris Pioline, Sergei Alexandrov

arxiv:1511.02892 v2 · 2015-11-09 · hep-th · math-ph · math.MP · 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{DPMHZACLTLVMJ5BIJ6UTPOOADA}

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

Non-Perturbative Real Topological Strings

Receipt and verification

First computed	2026-05-18T01:10:23.642434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bd87c804b9aeac4f4284fa937b9c01822ff4784684c38b3be57d0f93350df8e

Aliases

arxiv: 1511.02892 · arxiv_version: 1511.02892v2 · doi: 10.48550/arxiv.1511.02892 · pith_short_12: DPMHZACLTLVM · pith_short_16: DPMHZACLTLVMJ5BI · pith_short_8: DPMHZACL

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/DPMHZACLTLVMJ5BIJ6UTPOOADA \
  | 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: 1bd87c804b9aeac4f4284fa937b9c01822ff4784684c38b3be57d0f93350df8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a26a932704f0cb089621ca05b9f633f563bc3488e4d9a09fe2b3d43c9c0678a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-11-09T21:25:35Z",
    "title_canon_sha256": "bdd11207657f1de0f1eee321aceee1bae3051c5ee34e0a9b991ccb199f6b2215"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02892",
    "kind": "arxiv",
    "version": 2
  }
}