Pith Number

pith:QIY556MO

pith:2016:QIY556MOKKN5BMHMCIM63LCURJ

not attested not anchored not stored refs pending

The sub-leading coefficient of the L-function of an elliptic curve

Christian Wuthrich

arxiv:1608.06428 v1 · 2016-08-23 · 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{QIY556MOKKN5BMHMCIM63LCURJ}

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	2026-05-18T01:08:14.055614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8231def98e529bd0b0ec1219edac548a725a6643737e68bce586865c2fc1766a

Aliases

arxiv: 1608.06428 · arxiv_version: 1608.06428v1 · doi: 10.48550/arxiv.1608.06428 · pith_short_12: QIY556MOKKN5 · pith_short_16: QIY556MOKKN5BMHM · pith_short_8: QIY556MO

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/QIY556MOKKN5BMHMCIM63LCURJ \
  | 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: 8231def98e529bd0b0ec1219edac548a725a6643737e68bce586865c2fc1766a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4626d82baaab32f8f31eb6e59db8bd6db0fcd7ccd9c18cfb9ce46ad367b548f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-08-23T09:17:16Z",
    "title_canon_sha256": "848699f03bb00f66bb03b111f1ef3cc90d8ba2fec46f214c20bc2bd616f3d787"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06428",
    "kind": "arxiv",
    "version": 1
  }
}