Pith Number

pith:GH54FMPT

pith:2021:GH54FMPTKNB7J5MTNPON23VAWQ

not attested not anchored not stored refs pending

Rademacher expansion of a Siegel modular form for ${\cal N}= 4$ counting

Gabriel Lopes Cardoso, Mart\'i Rossell\'o, Suresh Nampuri

arxiv:2112.10023 v2 · 2021-12-18 · hep-th · math-ph · math.MP · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GH54FMPTKNB7J5MTNPON23VAWQ}

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

Machine learning automorphic forms for black holes

Receipt and verification

First computed	2026-07-05T07:29:24.638872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31fbc2b1f35343f4f5936bdcdd6ea0b41721bfe3bbb1804584bfaf76efe82f44

Aliases

arxiv: 2112.10023 · arxiv_version: 2112.10023v2 · doi: 10.48550/arxiv.2112.10023 · pith_short_12: GH54FMPTKNB7 · pith_short_16: GH54FMPTKNB7J5MT · pith_short_8: GH54FMPT

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/GH54FMPTKNB7J5MTNPON23VAWQ \
  | 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: 31fbc2b1f35343f4f5936bdcdd6ea0b41721bfe3bbb1804584bfaf76efe82f44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20c88dc1fe45c64eeda9842e682e720eeec727b967141c526f01f9c28dfd74e8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-12-18T23:07:10Z",
    "title_canon_sha256": "9106ab2d1bc40665b2310812e9d1e7b58c2dce3390228eeae9e874437bfa2ce0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.10023",
    "kind": "arxiv",
    "version": 2
  }
}