Pith Number

pith:D7EUFYLW

pith:2025:D7EUFYLWSBSARB6GVGU36KYL7R

not attested not anchored not stored refs pending

The Asai--Flach Euler system in $p$-adic families

Arshay Sheth, David Loeffler

arxiv:2506.19673 v1 · 2025-06-24 · 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{D7EUFYLWSBSARB6GVGU36KYL7R}

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	2026-07-05T11:26:36.666686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fc942e17690640887c6a9a9bf2b0bfc65a12319eb9662f05335f7726aff40bf

Aliases

arxiv: 2506.19673 · arxiv_version: 2506.19673v1 · doi: 10.48550/arxiv.2506.19673 · pith_short_12: D7EUFYLWSBSA · pith_short_16: D7EUFYLWSBSARB6G · pith_short_8: D7EUFYLW

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/D7EUFYLWSBSARB6GVGU36KYL7R \
  | 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: 1fc942e17690640887c6a9a9bf2b0bfc65a12319eb9662f05335f7726aff40bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a5758857bfcc4d1dd857fc091499746ea518cf9fb34cdbbe750263becc9987f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-24T14:40:30Z",
    "title_canon_sha256": "07356a1aa4119909d14856ab89c0125b16b9bb2f1009981bafc94cdd85b67765"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.19673",
    "kind": "arxiv",
    "version": 1
  }
}