Pith Number

pith:7YMPI63F

pith:2016:7YMPI63FLLBK5I6IEHMT6R4HPY

not attested not anchored not stored refs pending

Arithmetic invariant theory and 2-descent for plane quartic curves

Jack A. Thorne

arxiv:1607.08816 v1 · 2016-07-29 · 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{7YMPI63FLLBK5I6IEHMT6R4HPY}

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	2026-05-18T01:10:15.838061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe18f47b655ac2aea3c821d93f47877e2bdaf714eba596a73b6760137cd3e2f1

Aliases

arxiv: 1607.08816 · arxiv_version: 1607.08816v1 · doi: 10.48550/arxiv.1607.08816 · pith_short_12: 7YMPI63FLLBK · pith_short_16: 7YMPI63FLLBK5I6I · pith_short_8: 7YMPI63F

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/7YMPI63FLLBK5I6IEHMT6R4HPY \
  | 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: fe18f47b655ac2aea3c821d93f47877e2bdaf714eba596a73b6760137cd3e2f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb3006cc90e2327cfcd277eb69d1de1e645732951c2f3b5b5395f5d6bc0eafd4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-07-29T14:04:45Z",
    "title_canon_sha256": "cb270c3a3f15f02251929a19583529a3c4e64884c59a3c7cb5a832201dae079d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08816",
    "kind": "arxiv",
    "version": 1
  }
}