Pith Number

pith:2YIREXU7

pith:2015:2YIREXU7H5O4AUZUTHZM5AOYBT

not attested not anchored not stored refs pending

The L-functions and modular forms database project

John Cremona

arxiv:1511.04289 v2 · 2015-11-13 · 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{2YIREXU7H5O4AUZUTHZM5AOYBT}

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	2026-05-18T01:21:44.381435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d611125e9f3f5dc0533499f2ce81d80cd830b71fd5395a4ff3584c6f85aece97

Aliases

arxiv: 1511.04289 · arxiv_version: 1511.04289v2 · doi: 10.48550/arxiv.1511.04289 · pith_short_12: 2YIREXU7H5O4 · pith_short_16: 2YIREXU7H5O4AUZU · pith_short_8: 2YIREXU7

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/2YIREXU7H5O4AUZUTHZM5AOYBT \
  | 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: d611125e9f3f5dc0533499f2ce81d80cd830b71fd5395a4ff3584c6f85aece97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "578d7cc46ad4e0014b3f9fb7db3a5076ceffc8d83afb5ee11647c25584e861a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-13T14:23:09Z",
    "title_canon_sha256": "801e8d6f9473b3c434d8a03a08af987236e37c2a7af442907882dcfb773cb2bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04289",
    "kind": "arxiv",
    "version": 2
  }
}