Pith Number

pith:Q3VTUBP4

pith:2013:Q3VTUBP46G22YLZ7ZORNZGFMCV

not attested not anchored not stored refs pending

Conductors of l-adic representations

Douglas Ulmer

arxiv:1307.4525 v4 · 2013-07-17 · 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{Q3VTUBP46G22YLZ7ZORNZGFMCV}

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	2026-05-18T01:37:16.379981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86eb3a05fcf1b5ac2f3fcba2dc98ac15461269e5a745c5d62e1da62b14220fad

Aliases

arxiv: 1307.4525 · arxiv_version: 1307.4525v4 · doi: 10.48550/arxiv.1307.4525 · pith_short_12: Q3VTUBP46G22 · pith_short_16: Q3VTUBP46G22YLZ7 · pith_short_8: Q3VTUBP4

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/Q3VTUBP46G22YLZ7ZORNZGFMCV \
  | 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: 86eb3a05fcf1b5ac2f3fcba2dc98ac15461269e5a745c5d62e1da62b14220fad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02dc23ce2531598cf9f798d113470c85bd60e4a3ed05d4cc807f572fc025e2fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-17T07:58:33Z",
    "title_canon_sha256": "695251d37a3266cfcfef50fdab1fb201b48e685d80879be43088d45a1b4b683e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4525",
    "kind": "arxiv",
    "version": 4
  }
}