Pith Number

pith:MOXJKETA

pith:2013:MOXJKETAR75RHZKQPG4Y4K55ZX

not attested not anchored not stored refs pending

Dwork's congruences for the constant terms of powers of a Laurent polynomial

Anton Mellit, Masha Vlasenko

arxiv:1306.5811 v1 · 2013-06-24 · 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{MOXJKETAR75RHZKQPG4Y4K55ZX}

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	2026-05-18T03:19:58.498984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63ae9512608ffb13e55079b98e2bbdcde9e649509575acd088a900c9be898982

Aliases

arxiv: 1306.5811 · arxiv_version: 1306.5811v1 · doi: 10.48550/arxiv.1306.5811 · pith_short_12: MOXJKETAR75R · pith_short_16: MOXJKETAR75RHZKQ · pith_short_8: MOXJKETA

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/MOXJKETAR75RHZKQPG4Y4K55ZX \
  | 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: 63ae9512608ffb13e55079b98e2bbdcde9e649509575acd088a900c9be898982

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d701643d19e532a27cc2c6e24f09b5c269c012fe332e429fc06a3cdd10a9eea",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-24T23:51:52Z",
    "title_canon_sha256": "961d9fbd2d9132a3911dde309ee94c89f0845d9e5b79a813515ecf242de52dd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5811",
    "kind": "arxiv",
    "version": 1
  }
}