Pith Number

pith:5VKJXRFS

pith:2012:5VKJXRFSV7LD4DTFGVKRUYCCC5

not attested not anchored not stored refs pending

Line arrangements modeling curves of high degree: equations, syzygies and secants

Gregory Burnham, Jessica Sidman, Peter Vermeire, Zvi Rosen

arxiv:1201.5010 v2 · 2012-01-24 · math.AG · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5VKJXRFSV7LD4DTFGVKRUYCCC5}

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	2026-05-18T02:09:42.123214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed549bc4b2afd63e0e6535551a604217797ff60f5db6e9d921ec3d0f3fae57ec

Aliases

arxiv: 1201.5010 · arxiv_version: 1201.5010v2 · doi: 10.48550/arxiv.1201.5010 · pith_short_12: 5VKJXRFSV7LD · pith_short_16: 5VKJXRFSV7LD4DTF · pith_short_8: 5VKJXRFS

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/5VKJXRFSV7LD4DTFGVKRUYCCC5 \
  | 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: ed549bc4b2afd63e0e6535551a604217797ff60f5db6e9d921ec3d0f3fae57ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c25369b35aca01fca00ef326157085100da017ebcd52999c2591148e2d954566",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-01-24T15:21:05Z",
    "title_canon_sha256": "c294f7bef569073e034d6c4b679fcbf8e71ad0161edc920a0ea63c0ee1748886"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5010",
    "kind": "arxiv",
    "version": 2
  }
}