Pith Number

pith:HBY7RZ44

pith:2013:HBY7RZ44UFTNEVJPV27LNGEGHM

not attested not anchored not stored refs pending

Gauss-Manin connections for p-adic families of nearly overconvergent modular forms

Liang Xiao, Robert Harron

arxiv:1308.1732 v2 · 2013-08-08 · 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{HBY7RZ44UFTNEVJPV27LNGEGHM}

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	2026-05-18T02:47:41.096748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3871f8e79ca166d2552faebeb698863b0bc312a81a2e842c0871166eb0096648

Aliases

arxiv: 1308.1732 · arxiv_version: 1308.1732v2 · doi: 10.48550/arxiv.1308.1732 · pith_short_12: HBY7RZ44UFTN · pith_short_16: HBY7RZ44UFTNEVJP · pith_short_8: HBY7RZ44

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/HBY7RZ44UFTNEVJPV27LNGEGHM \
  | 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: 3871f8e79ca166d2552faebeb698863b0bc312a81a2e842c0871166eb0096648

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cdcc8e069ac65a323b9366f980526b7914e77786016049c5d63b148a369daa8",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-08-08T01:40:05Z",
    "title_canon_sha256": "501195dc2edcf20427df758f4ab8ac03d548e4696669f678638509f0a18cfd90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1732",
    "kind": "arxiv",
    "version": 2
  }
}