Pith Number

pith:H4RJGEDC

pith:2001:H4RJGEDCY4OW3EX5EJVZGNKHDJ

not attested not anchored not stored refs pending

Equations of low-degree Projective Surfaces with three-divisible Sets of Cusps

Slawomir Rams, Wolf P. Barth

arxiv:math/0112046 v2 · 2001-12-05 · 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{H4RJGEDCY4OW3EX5EJVZGNKHDJ}

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	2026-05-18T03:44:58.200963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f22931062c71d6d92fd226b9335471a6a26abb0fe6a103f029985ed93febb10

Aliases

arxiv: math/0112046 · arxiv_version: math/0112046v2 · doi: 10.48550/arxiv.math/0112046 · pith_short_12: H4RJGEDCY4OW · pith_short_16: H4RJGEDCY4OW3EX5 · pith_short_8: H4RJGEDC

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/H4RJGEDCY4OW3EX5EJVZGNKHDJ \
  | 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: 3f22931062c71d6d92fd226b9335471a6a26abb0fe6a103f029985ed93febb10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b939a0f2742ca647464424f109ff9520791d6e91da6d015551d5e6353aa34431",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-12-05T15:21:00Z",
    "title_canon_sha256": "f17bac7c42efef46657e9b3cc624d6c423e6afd756f73850a01bf7ac3d4885ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0112046",
    "kind": "arxiv",
    "version": 2
  }
}