Pith Number

pith:PXEXKIBU

pith:2013:PXEXKIBU64V6JZ6UY6XQ44OPJN

not attested not anchored not stored refs pending

Distinguishing eigenforms modulo a prime ideal

Alexandru Ghitza, Sam Chow

arxiv:1304.1832 v1 · 2013-04-05 · 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{PXEXKIBU64V6JZ6UY6XQ44OPJN}

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	2026-05-18T03:28:45.034836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dc9752034f72be4e7d4c7af0e71cf4b4bfc76594fd2c36fb6a5917fb5d8b935

Aliases

arxiv: 1304.1832 · arxiv_version: 1304.1832v1 · doi: 10.48550/arxiv.1304.1832 · pith_short_12: PXEXKIBU64V6 · pith_short_16: PXEXKIBU64V6JZ6U · pith_short_8: PXEXKIBU

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/PXEXKIBU64V6JZ6UY6XQ44OPJN \
  | 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: 7dc9752034f72be4e7d4c7af0e71cf4b4bfc76594fd2c36fb6a5917fb5d8b935

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63a9f82cac9e5230cdabb0ac338de3ff03c84b3fcd9aa5666a6b697f6e5362f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-04-05T22:53:44Z",
    "title_canon_sha256": "d0f55105388ca02789f98908cdc1151b3d077e1e7297eb2b4199ee39d867a846"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1832",
    "kind": "arxiv",
    "version": 1
  }
}