Pith Number

pith:TBLLHMNF

pith:2016:TBLLHMNF5LEL5DAWUMB7R2ZDV6

not attested not anchored not stored refs pending

Formulas for Jacobi forms and generalized Frobenius partitions

Kathrin Bringmann, Larry Rolen, Michael Woodbury

arxiv:1610.01329 v2 · 2016-10-05 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TBLLHMNF5LEL5DAWUMB7R2ZDV6}

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	2026-05-18T01:01:35.670286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9856b3b1a5eac8be8c16a303f8eb23af9a93244dac0d79f5847ce3be5ed5d5ba

Aliases

arxiv: 1610.01329 · arxiv_version: 1610.01329v2 · doi: 10.48550/arxiv.1610.01329 · pith_short_12: TBLLHMNF5LEL · pith_short_16: TBLLHMNF5LEL5DAW · pith_short_8: TBLLHMNF

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/TBLLHMNF5LEL5DAWUMB7R2ZDV6 \
  | 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: 9856b3b1a5eac8be8c16a303f8eb23af9a93244dac0d79f5847ce3be5ed5d5ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9539f6ba478615834f8eceb9fb690d3325a8568b4fe1d3c7d4b165e6c3166aa9",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-10-05T09:30:44Z",
    "title_canon_sha256": "a93567d77a94d94c7b79882179b55fb0fdb98ef01d0c31b71e9c97202aed8671"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01329",
    "kind": "arxiv",
    "version": 2
  }
}