Pith Number

pith:FRCSVM7H

pith:2015:FRCSVM7HAYLDTETRWBGA3SBIRF

not attested not anchored not stored refs pending

Adapted bases of Kisin modules and Serre weights

Hui Gao

arxiv:1505.02664 v2 · 2015-05-11 · 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{FRCSVM7HAYLDTETRWBGA3SBIRF}

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	2026-05-18T01:12:36.316953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c452ab3e70616399271b04c0dc828897191b042cfc1529dfcab913e9cc6cdfc

Aliases

arxiv: 1505.02664 · arxiv_version: 1505.02664v2 · doi: 10.48550/arxiv.1505.02664 · pith_short_12: FRCSVM7HAYLD · pith_short_16: FRCSVM7HAYLDTETR · pith_short_8: FRCSVM7H

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/FRCSVM7HAYLDTETRWBGA3SBIRF \
  | 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: 2c452ab3e70616399271b04c0dc828897191b042cfc1529dfcab913e9cc6cdfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "312345d270bb882cd816284f99b5899495bf4e5f8a27cf788803d01a6c25a64d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-05-11T15:13:14Z",
    "title_canon_sha256": "5946fc49b5b59d1ed89b1d8dd232d19de5403b7e60d2832f650f9ad99d58f510"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02664",
    "kind": "arxiv",
    "version": 2
  }
}