Pith Number

pith:U3YINBE7

pith:2018:U3YINBE7WTFMF4VYBLPB4WEEHZ

not attested not anchored not stored refs pending

$p$-adic L-functions and Classical Congruences

Xianzu Lin

arxiv:1804.07929 v1 · 2018-04-21 · 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{U3YINBE7WTFMF4VYBLPB4WEEHZ}

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	2026-05-18T00:17:50.156869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6f086849fb4cac2f2b80ade1e58843e4cb37f218367c5a1bc22a67ddab4bdf4

Aliases

arxiv: 1804.07929 · arxiv_version: 1804.07929v1 · doi: 10.48550/arxiv.1804.07929 · pith_short_12: U3YINBE7WTFM · pith_short_16: U3YINBE7WTFMF4VY · pith_short_8: U3YINBE7

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/U3YINBE7WTFMF4VYBLPB4WEEHZ \
  | 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: a6f086849fb4cac2f2b80ade1e58843e4cb37f218367c5a1bc22a67ddab4bdf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c39726661d406323cad8e4af12fbb45cf553c7a8135fef8c76a4922de8b89864",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-04-21T09:49:53Z",
    "title_canon_sha256": "43ac61d1792733cb3de3fd5e10888b61b3b3fa141a2a6234aedf33620ee61c94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.07929",
    "kind": "arxiv",
    "version": 1
  }
}