Pith Number

pith:HKC4YFA6

pith:2013:HKC4YFA6CDQFFVLUBGS4VDCG6P

not attested not anchored not stored refs pending

Cycles in Projective Spaces

Ashley Klahr, David Heywood, Elaina Aceves, Oscar Vega

arxiv:1310.0199 v1 · 2013-10-01 · 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{HKC4YFA6CDQFFVLUBGS4VDCG6P}

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	2026-05-18T03:11:45.178709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a85cc141e10e052d57409a5ca8c46f3f31db8b30d0f6056f59611d2b81ff12a

Aliases

arxiv: 1310.0199 · arxiv_version: 1310.0199v1 · doi: 10.48550/arxiv.1310.0199 · pith_short_12: HKC4YFA6CDQF · pith_short_16: HKC4YFA6CDQFFVLU · pith_short_8: HKC4YFA6

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/HKC4YFA6CDQFFVLUBGS4VDCG6P \
  | 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: 3a85cc141e10e052d57409a5ca8c46f3f31db8b30d0f6056f59611d2b81ff12a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3645499a5779d783ec1d36c9b5f6ff26a349c4c8bad1b7a08267431ad3f1964",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-01T09:15:29Z",
    "title_canon_sha256": "1f91b1e7af12eec7a8ae994483c2cd8b1b12e32e5c2cbbea218fc9de09aa76c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0199",
    "kind": "arxiv",
    "version": 1
  }
}