Pith Number

pith:FW53S3SI

pith:2024:FW53S3SIPMOFR5OIE6GGVRSE62

not attested not anchored not stored refs pending

CAT(0) geometry of complex curve complements and families

Anatoly Libgober, Corey Bregman, Kejia Zhu

arxiv:2411.18067 v1 · 2024-11-27 · math.GT · math.AG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FW53S3SIPMOFR5OIE6GGVRSE62}

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	2026-07-05T09:41:11.284129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dbbb96e487b1c58f5c8278c6ac644f6a25df8812060412a934bc5237a6c416b

Aliases

arxiv: 2411.18067 · arxiv_version: 2411.18067v1 · doi: 10.48550/arxiv.2411.18067 · pith_short_12: FW53S3SIPMOF · pith_short_16: FW53S3SIPMOFR5OI · pith_short_8: FW53S3SI

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/FW53S3SIPMOFR5OIE6GGVRSE62 \
  | 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: 2dbbb96e487b1c58f5c8278c6ac644f6a25df8812060412a934bc5237a6c416b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc13ee43e320dfbc4760ce721af7b01aac80ac8f646ced9228b3f6f9a0ff505f",
    "cross_cats_sorted": [
      "math.AG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-11-27T05:24:30Z",
    "title_canon_sha256": "2d5ff3502926e5a3923aa390e0b5f90ee15b496dcee061b831f2a4d9ffca458a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.18067",
    "kind": "arxiv",
    "version": 1
  }
}