Pith Number

pith:H4BFTJTD

pith:2015:H4BFTJTDUWLCTBG3PENZRE2WJ2

not attested not anchored not stored refs pending

Even and Odd Cycles Passing a Given Edge or a Vertex

Khashayar Etemadi, Mehrdad Ghadiri, Peyman Ezzati, Saieed Akbari

arxiv:1512.02443 v1 · 2015-12-08 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H4BFTJTDUWLCTBG3PENZRE2WJ2}

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	2026-05-18T01:24:44.681377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f0259a663a5962984db791b9893564ea4f284aa026c028d5835d5080110e8d5

Aliases

arxiv: 1512.02443 · arxiv_version: 1512.02443v1 · doi: 10.48550/arxiv.1512.02443 · pith_short_12: H4BFTJTDUWLC · pith_short_16: H4BFTJTDUWLCTBG3 · pith_short_8: H4BFTJTD

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/H4BFTJTDUWLCTBG3PENZRE2WJ2 \
  | 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: 3f0259a663a5962984db791b9893564ea4f284aa026c028d5835d5080110e8d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1db2956690ed98310233b1dee3712d0ceca3cfdbc9f7cf42e59cbd4b30511c5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2015-12-08T12:59:12Z",
    "title_canon_sha256": "b22f268fb9bf975080eaaa2b4f04e97e68d78a651731166801b77f2b3a47af03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02443",
    "kind": "arxiv",
    "version": 1
  }
}