Pith Number

pith:ELX7U6DK

pith:2011:ELX7U6DKJV2TIC4TOOCBDSKMWN

not attested not anchored not stored refs pending

Determinants of Subquotients of Galois Representations Associated to Abelian Varieties

Dmitry Vaintrob, Eric Larson

arxiv:1110.0255 v4 · 2011-10-03 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ELX7U6DKJV2TIC4TOOCBDSKMWN}

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	2026-05-18T03:58:51.219515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22effa786a4d75340b93738411c94cb377770ef28bd2aa52458b2cc0d138ed92

Aliases

arxiv: 1110.0255 · arxiv_version: 1110.0255v4 · doi: 10.48550/arxiv.1110.0255 · pith_short_12: ELX7U6DKJV2T · pith_short_16: ELX7U6DKJV2TIC4T · pith_short_8: ELX7U6DK

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/ELX7U6DKJV2TIC4TOOCBDSKMWN \
  | 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: 22effa786a4d75340b93738411c94cb377770ef28bd2aa52458b2cc0d138ed92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0025b32a27050aee776087043a230b3ccae44d881d7b35615d5e425249e2c1ce",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-10-03T02:22:34Z",
    "title_canon_sha256": "7f51d92ea219d9c4955cd8c65f25ea2625ee60d8d20cd4a55cd94e151733acbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0255",
    "kind": "arxiv",
    "version": 4
  }
}