Pith Number

pith:NILJ5T5E

pith:2024:NILJ5T5E3F5PCC3PHMCU2ICVHY

not attested not anchored not stored refs pending

The Fermat curves, arrangements of lines, and intersections of osculating curves

Nils Peder Astrup Toft, Torgunn Karoline Moe

arxiv:2412.16993 v2 · 2024-12-22 · 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{NILJ5T5E3F5PCC3PHMCU2ICVHY}

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.

Cited by

1 paper in Pith

The Hesse pencil of plane curves and osculating conics

Receipt and verification

First computed	2026-07-05T10:59:26.521129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a169ecfa4d97af10b6f3b054d20553e331c6fae963bdae3bd8e0120e036c6d7

Aliases

arxiv: 2412.16993 · arxiv_version: 2412.16993v2 · doi: 10.48550/arxiv.2412.16993 · pith_short_12: NILJ5T5E3F5P · pith_short_16: NILJ5T5E3F5PCC3P · pith_short_8: NILJ5T5E

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/NILJ5T5E3F5PCC3PHMCU2ICVHY \
  | 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: 6a169ecfa4d97af10b6f3b054d20553e331c6fae963bdae3bd8e0120e036c6d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db0923bc399cccba789e4b58119470cd4e2d33644ba2b069f0da40803927da60",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-12-22T12:22:20Z",
    "title_canon_sha256": "8b9ebcb1120dcdc0d0e6cf6cb738edc966b182b3f37057a4c86656fdffe611b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.16993",
    "kind": "arxiv",
    "version": 2
  }
}