Pith Number

pith:UMFTUJJN

pith:2017:UMFTUJJN5PQWZZPSGR55P7H3JO

not attested not anchored not stored refs pending

Congruences for partition functions related to mock theta functions

Li-Jun Hao, Shane Chern

arxiv:1707.05620 v2 · 2017-07-18 · 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{UMFTUJJN5PQWZZPSGR55P7H3JO}

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	2026-05-18T00:39:57.948975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a30b3a252debe16ce5f2347bd7fcfb4ba068882580bd45887c0efcca88164a76

Aliases

arxiv: 1707.05620 · arxiv_version: 1707.05620v2 · doi: 10.48550/arxiv.1707.05620 · pith_short_12: UMFTUJJN5PQW · pith_short_16: UMFTUJJN5PQWZZPS · pith_short_8: UMFTUJJN

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/UMFTUJJN5PQWZZPSGR55P7H3JO \
  | 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: a30b3a252debe16ce5f2347bd7fcfb4ba068882580bd45887c0efcca88164a76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "215626f44e1205af0e312e54f81ff2f0a5e0c672d67cffdc06493ea1ee113960",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-18T14:02:50Z",
    "title_canon_sha256": "bdc1e999187be8b1cd59d8ab2b96fb5a0f8a6c6912b7f4f2797739e4add8d8c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05620",
    "kind": "arxiv",
    "version": 2
  }
}