Pith Number

pith:UPAQHFIQ

pith:2016:UPAQHFIQDYV4P2GZSZA73CUYP6

not attested not anchored not stored refs pending

Indefinite theta series and generalized error functions

Boris Pioline, Jan Manschot, Sergei Alexandrov, Sibasish Banerjee

arxiv:1606.05495 v3 · 2016-06-17 · math.NT · hep-th · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UPAQHFIQDYV4P2GZSZA73CUYP6}

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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

Black Hole Quantum Mechanics and Generalized Error Functions

Receipt and verification

First computed	2026-07-05T01:52:56.633420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3c10395101e2bc7e8d99641fd8a987f9d48eadc07ef7610e73877c38069e471

Aliases

arxiv: 1606.05495 · arxiv_version: 1606.05495v3 · doi: 10.48550/arxiv.1606.05495 · pith_short_12: UPAQHFIQDYV4 · pith_short_16: UPAQHFIQDYV4P2GZ · pith_short_8: UPAQHFIQ

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/UPAQHFIQDYV4P2GZSZA73CUYP6 \
  | 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: a3c10395101e2bc7e8d99641fd8a987f9d48eadc07ef7610e73877c38069e471

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74088f1d3623ef3b3232ef1e74fb1710ee52b3b2408d4539c57ab90361048d28",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-06-17T12:19:22Z",
    "title_canon_sha256": "8dd6fe233ecb171edd0411b2d78356922997d5ff3bb0fd05cf205c8a3470365d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05495",
    "kind": "arxiv",
    "version": 3
  }
}