Pith Number

pith:45VMFAQM

pith:2012:45VMFAQMEZOSDGCGP7B7KGKUC3

not attested not anchored not stored refs pending

On the robustness of random k-cores

Cristiane M. Sato

arxiv:1203.2209 v2 · 2012-03-09 · math.CO · 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{45VMFAQMEZOSDGCGP7B7KGKUC3}

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	2026-05-18T03:45:53.036445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e76ac2820c265d2198467fc3f5195416d39ef4a3b742a686a81878acabd82658

Aliases

arxiv: 1203.2209 · arxiv_version: 1203.2209v2 · doi: 10.48550/arxiv.1203.2209 · pith_short_12: 45VMFAQMEZOS · pith_short_16: 45VMFAQMEZOSDGCG · pith_short_8: 45VMFAQM

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/45VMFAQMEZOSDGCGP7B7KGKUC3 \
  | 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: e76ac2820c265d2198467fc3f5195416d39ef4a3b742a686a81878acabd82658

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57aad640341260f32698cc8ac015a8fe974ad45fd66fcbc1f88dab32a110a3f2",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-09T23:27:45Z",
    "title_canon_sha256": "66df7fd21f5dc7f6d0925022b5b0644915e0bb996c5906c233b79e5d77ecc000"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2209",
    "kind": "arxiv",
    "version": 2
  }
}