Pith Number

pith:XV45BHG2

pith:2012:XV45BHG2IFUQJSSXPASWE6HRED

not attested not anchored not stored refs pending

Zeta Functions and the Log-behavior of Combinatorial Sequences

Jeremy J.F. Guo, Larry X.W. Wang, William Y.C. Chen

arxiv:1208.5213 v3 · 2012-08-26 · math.CO · 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{XV45BHG2IFUQJSSXPASWE6HRED}

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	2026-05-18T03:12:09.106387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd79d09cda416904ca5778256278f120e6ecb2aeff3f99bc3b19a7e5e847ca9b

Aliases

arxiv: 1208.5213 · arxiv_version: 1208.5213v3 · doi: 10.48550/arxiv.1208.5213 · pith_short_12: XV45BHG2IFUQ · pith_short_16: XV45BHG2IFUQJSSX · pith_short_8: XV45BHG2

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/XV45BHG2IFUQJSSXPASWE6HRED \
  | 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: bd79d09cda416904ca5778256278f120e6ecb2aeff3f99bc3b19a7e5e847ca9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf030a7555174fe35fba3076955529b50add0107ac94b469a25812458e3dccfe",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-26T10:37:36Z",
    "title_canon_sha256": "75a8c3e10e3d88f6da0d04e793f6e1056e99d96cb4d50cd761ec89e96381f601"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5213",
    "kind": "arxiv",
    "version": 3
  }
}