Pith Number

pith:KJNVLMP7

pith:2011:KJNVLMP7TRD42Z26QHAJOET3C2

not attested not anchored not stored refs pending

Almost harmonic Maass forms and Kac-Wakimoto characters

Amanda Folsom, Kathrin Bringmann

arxiv:1112.4726 v2 · 2011-12-20 · 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{KJNVLMP7TRD42Z26QHAJOET3C2}

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	2026-05-18T03:32:05.740174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

525b55b1ff9c47cd675e81c097127b169344e5436dd03d61ee5ead95796986bd

Aliases

arxiv: 1112.4726 · arxiv_version: 1112.4726v2 · doi: 10.48550/arxiv.1112.4726 · pith_short_12: KJNVLMP7TRD4 · pith_short_16: KJNVLMP7TRD42Z26 · pith_short_8: KJNVLMP7

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/KJNVLMP7TRD42Z26QHAJOET3C2 \
  | 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: 525b55b1ff9c47cd675e81c097127b169344e5436dd03d61ee5ead95796986bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "587f4f0f425ce491a8150f1e6f098051b18173722c6f3bd0c050524756150673",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-12-20T15:27:05Z",
    "title_canon_sha256": "7e21e42b7ab0a18a0ebbfa0f48c54d99e73eb51b76a23e61447234f67580ff47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4726",
    "kind": "arxiv",
    "version": 2
  }
}