Pith Number

pith:DUVH5RKP

pith:2013:DUVH5RKPV5DIDCG4NQLMG2R6IB

not attested not anchored not stored refs pending

Asymptotic formulas for coefficients of inverse theta functions

Jan Manschot, Kathrin Bringmann

arxiv:1304.7208 v2 · 2013-04-26 · math.NT · 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{DUVH5RKPV5DIDCG4NQLMG2R6IB}

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	2026-05-18T03:00:03.290787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d2a7ec54faf468188dc6c16c36a3e4070b823a04c7f5f435a1baaef3453d02f

Aliases

arxiv: 1304.7208 · arxiv_version: 1304.7208v2 · doi: 10.48550/arxiv.1304.7208 · pith_short_12: DUVH5RKPV5DI · pith_short_16: DUVH5RKPV5DIDCG4 · pith_short_8: DUVH5RKP

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/DUVH5RKPV5DIDCG4NQLMG2R6IB \
  | 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: 1d2a7ec54faf468188dc6c16c36a3e4070b823a04c7f5f435a1baaef3453d02f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aafecc558397a6c186765b70034db7384e351688452935b0951116ddae849169",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-04-26T15:50:29Z",
    "title_canon_sha256": "57cf63c803a5af966eebda152eae337d841e3ab0630d2bf12bdec7e222f1d81a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7208",
    "kind": "arxiv",
    "version": 2
  }
}