Pith Number

pith:PDQU3N6V

pith:2015:PDQU3N6V7QRVQ2Z2M4DEYSZKOT

not attested not anchored not stored refs pending

Global cycle properties in locally isometric graphs

Adam Borchert, Ortrud R. Oellermann, Skylar Nicol

arxiv:1506.03310 v2 · 2015-06-10 · 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{PDQU3N6V7QRVQ2Z2M4DEYSZKOT}

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	2026-05-18T01:23:16.401932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78e14db7d5fc23586b3a67064c4b2a74e7236e921c05f16bcb7de215eebdff09

Aliases

arxiv: 1506.03310 · arxiv_version: 1506.03310v2 · doi: 10.48550/arxiv.1506.03310 · pith_short_12: PDQU3N6V7QRV · pith_short_16: PDQU3N6V7QRVQ2Z2 · pith_short_8: PDQU3N6V

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/PDQU3N6V7QRVQ2Z2M4DEYSZKOT \
  | 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: 78e14db7d5fc23586b3a67064c4b2a74e7236e921c05f16bcb7de215eebdff09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95fafe14e3f3c92ab77c469593ab3e2854cb755b633e2d6db63d6f962c8603da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-10T14:03:13Z",
    "title_canon_sha256": "a6ea04e04d5158a907c86a3201ac99248d9b1dadbce5dbeb7a9040685d986ee1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03310",
    "kind": "arxiv",
    "version": 2
  }
}