Pith Number

pith:OZSRTC3Q

pith:2018:OZSRTC3QIXRJTEUPRCLW6GMX4K

not attested not anchored not stored refs pending

Intersection numbers of twisted cycles and cocycles for degenerate arrangements

Yoshiaki Goto

arxiv:1805.01714 v1 · 2018-05-04 · math.AG · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OZSRTC3QIXRJTEUPRCLW6GMX4K}

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	2026-05-18T00:16:46.938208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7665198b7045e299928f88976f1997e2a0c85dc7dad446c4cf6f1bf79d3f0c22

Aliases

arxiv: 1805.01714 · arxiv_version: 1805.01714v1 · doi: 10.48550/arxiv.1805.01714 · pith_short_12: OZSRTC3QIXRJ · pith_short_16: OZSRTC3QIXRJTEUP · pith_short_8: OZSRTC3Q

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/OZSRTC3QIXRJTEUPRCLW6GMX4K \
  | 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: 7665198b7045e299928f88976f1997e2a0c85dc7dad446c4cf6f1bf79d3f0c22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b82dbe6f039d5806b05f2856edca69759113c508d7fe3a70f549c02684dfbce3",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-05-04T11:10:26Z",
    "title_canon_sha256": "6cc88847d22b41457400a09b2e7c26eef861d7f052dd439b361729208d3b793f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.01714",
    "kind": "arxiv",
    "version": 1
  }
}