Pith Number

pith:PZDQULCQ

pith:2013:PZDQULCQGFBWT2FLLGHEZGAJUB

not attested not anchored not stored refs pending

Modular forms, hypergeometric functions and congruences

Matija Kazalicki

arxiv:1301.3303 v1 · 2013-01-15 · 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{PZDQULCQGFBWT2FLLGHEZGAJUB}

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	2026-05-18T03:36:25.887491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e470a2c50314369e8ab598e4c9809a06477acd63cbdc22b6a20dd1339fef35a

Aliases

arxiv: 1301.3303 · arxiv_version: 1301.3303v1 · doi: 10.48550/arxiv.1301.3303 · pith_short_12: PZDQULCQGFBW · pith_short_16: PZDQULCQGFBWT2FL · pith_short_8: PZDQULCQ

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/PZDQULCQGFBWT2FLLGHEZGAJUB \
  | 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: 7e470a2c50314369e8ab598e4c9809a06477acd63cbdc22b6a20dd1339fef35a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71f68bca2723d5740f3c61708d3d92c6da8a53e5ebc562c29fdaed50a6908876",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-01-15T10:58:29Z",
    "title_canon_sha256": "1586ce5b533c6aa2cd490d3cd0e6d3512b84f38ae481866fac41239797183b62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3303",
    "kind": "arxiv",
    "version": 1
  }
}