Pith Number

pith:6HBNWGHI

pith:2014:6HBNWGHIBFDRAB2Z4NEQZRJXKE

not attested not anchored not stored refs pending

Positive cones of dual cycle classes

Brian Lehmann, Mihai Fulger

arxiv:1408.5154 v2 · 2014-08-21 · 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{6HBNWGHIBFDRAB2Z4NEQZRJXKE}

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	2026-05-18T01:22:57.963415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1c2db18e80947100759e3490cc5375121af01a754088a0d521d2b9993a6bddd

Aliases

arxiv: 1408.5154 · arxiv_version: 1408.5154v2 · doi: 10.48550/arxiv.1408.5154 · pith_short_12: 6HBNWGHIBFDR · pith_short_16: 6HBNWGHIBFDRAB2Z · pith_short_8: 6HBNWGHI

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/6HBNWGHIBFDRAB2Z4NEQZRJXKE \
  | 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: f1c2db18e80947100759e3490cc5375121af01a754088a0d521d2b9993a6bddd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f07948a548c4b945104265c909ecf29938aaa0b656bd0b35b47f38e94ef7a2e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-08-21T20:32:07Z",
    "title_canon_sha256": "88e8409886c1a82fe420c6e255b8063716212c3b13fc20afab1cf3ab8690dba7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5154",
    "kind": "arxiv",
    "version": 2
  }
}