Pith Number

pith:LXFX2MTU

pith:2026:LXFX2MTUUTWUAW265L7ZWIH6PK

not attested not anchored not stored refs pending

Degenerating Discriminants

Clara Briand, Viktoriia Borovik

arxiv:2607.17966 v1 · 2026-07-20 · math.AG · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LXFX2MTUUTWUAW265L7ZWIH6PK}

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	2026-07-21T02:22:08.914050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dcb7d3274a4ed405b5eeaff9b20fe7abcc4093aaf1206f2414cb355aa2fc90b

Aliases

arxiv: 2607.17966 · arxiv_version: 2607.17966v1 · doi: 10.48550/arxiv.2607.17966 · pith_short_12: LXFX2MTUUTWU · pith_short_16: LXFX2MTUUTWUAW26 · pith_short_8: LXFX2MTU

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/LXFX2MTUUTWUAW265L7ZWIH6PK \
  | 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: 5dcb7d3274a4ed405b5eeaff9b20fe7abcc4093aaf1206f2414cb355aa2fc90b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60edb587e14e5db9470cc76eed1b093243a7c15a01ca3793b9c5cf1d10aafdf0",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-20T14:07:00Z",
    "title_canon_sha256": "e858712330cd8e7b65e16b5cb6480817b6ffdceb3c7f607ce3721e5f0d48132b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17966",
    "kind": "arxiv",
    "version": 1
  }
}