Pith Number

pith:HGTLVHY3

pith:2013:HGTLVHY3ZAWXUTAFODK4IZN433

not attested not anchored not stored refs pending

Recursion Rules for the Hypergeometric Zeta Functions

Alyssa Byrnes, Christophe Vignat, Lin Jiu, Victor H. Moll

arxiv:1305.1892 v1 · 2013-05-08 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HGTLVHY3ZAWXUTAFODK4IZN433}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:26:10.926458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39a6ba9f1bc82d7a4c0570d5c465bcded5f05171fc9893bc1df6e7183a6b1fe9

Aliases

arxiv: 1305.1892 · arxiv_version: 1305.1892v1 · doi: 10.48550/arxiv.1305.1892 · pith_short_12: HGTLVHY3ZAWX · pith_short_16: HGTLVHY3ZAWXUTAF · pith_short_8: HGTLVHY3

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/HGTLVHY3ZAWXUTAFODK4IZN433 \
  | 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: 39a6ba9f1bc82d7a4c0570d5c465bcded5f05171fc9893bc1df6e7183a6b1fe9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a71b0f84ca824bd8d7cfdec1b70d35c35a672f95fe0b4bdfaf89d3d417e022a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-05-08T17:39:29Z",
    "title_canon_sha256": "1c9a5cab6521d6055064b27a2b4e63faca4804b68dc5aa678a848cd6efa63cdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1892",
    "kind": "arxiv",
    "version": 1
  }
}