Pith Number

pith:MMPDO47P

pith:2014:MMPDO47PB6463QZWTD3P7LNFSE

not attested not anchored not stored refs pending

Families of L-functions and their Symmetry

Nicolas Templier, Peter Sarnak, Sug-Woo Shin

arxiv:1401.5507 v2 · 2014-01-21 · 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{MMPDO47PB6463QZWTD3P7LNFSE}

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	2026-05-18T01:32:57.913718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

631e3773ef0fb9edc33698f6ffada5911e814e6a7624ce89df68d01b3c171fa8

Aliases

arxiv: 1401.5507 · arxiv_version: 1401.5507v2 · doi: 10.48550/arxiv.1401.5507 · pith_short_12: MMPDO47PB646 · pith_short_16: MMPDO47PB6463QZW · pith_short_8: MMPDO47P

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/MMPDO47PB6463QZWTD3P7LNFSE \
  | 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: 631e3773ef0fb9edc33698f6ffada5911e814e6a7624ce89df68d01b3c171fa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1803f30ff081f323d3081fa213ff5e58b79cf586c387f729de5d5381ab6f6716",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-01-21T22:19:17Z",
    "title_canon_sha256": "ae91b810110b95a4e09e0c16269f45aff94ae456457e069758e2da45c617f0bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.5507",
    "kind": "arxiv",
    "version": 2
  }
}