Pith Number

pith:P4PB2OLU

pith:2016:P4PB2OLUDTNCMNFLE2WSEKUJXI

not attested not anchored not stored refs pending

Twisted characteristic $p$ zeta functions

Bruno Angl\`es, Floric Tavares Ribeiro, Tuan Ngo Dac

arxiv:1603.04076 v1 · 2016-03-13 · 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{P4PB2OLUDTNCMNFLE2WSEKUJXI}

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	2026-05-18T01:19:09.488325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f1e1d39741cda2634ab26ad222a89ba1df9b576fb5e137e2184d53d64d01191

Aliases

arxiv: 1603.04076 · arxiv_version: 1603.04076v1 · doi: 10.48550/arxiv.1603.04076 · pith_short_12: P4PB2OLUDTNC · pith_short_16: P4PB2OLUDTNCMNFL · pith_short_8: P4PB2OLU

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/P4PB2OLUDTNCMNFLE2WSEKUJXI \
  | 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: 7f1e1d39741cda2634ab26ad222a89ba1df9b576fb5e137e2184d53d64d01191

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59499a650b565edb15bba91fcf8b34db2460a4b1945c277c54f18c2732c0fe5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-03-13T21:10:46Z",
    "title_canon_sha256": "e85a7c860ea31016041a8331b9a715275ca54cad52707a96b10521b2286fddbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04076",
    "kind": "arxiv",
    "version": 1
  }
}