Pith Number

pith:I77SSFQY

pith:2012:I77SSFQY6WMUCBG3DOIPVPPLDA

not attested not anchored not stored refs pending

Effect on normalized graph Laplacian spectrum by motif attachment and duplication

Anirban Banerjee, Ranjit Mehatari

arxiv:1210.5125 v3 · 2012-10-18 · 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{I77SSFQY6WMUCBG3DOIPVPPLDA}

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	2026-05-18T01:21:41.998465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47ff291618f5994104db1b90fabdeb182eaa044d9495bc2054ed9115f0e6db47

Aliases

arxiv: 1210.5125 · arxiv_version: 1210.5125v3 · doi: 10.48550/arxiv.1210.5125 · pith_short_12: I77SSFQY6WMU · pith_short_16: I77SSFQY6WMUCBG3 · pith_short_8: I77SSFQY

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/I77SSFQY6WMUCBG3DOIPVPPLDA \
  | 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: 47ff291618f5994104db1b90fabdeb182eaa044d9495bc2054ed9115f0e6db47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca91dd26e4a62b3d6bcc61007fb23cca71e7c9f4c02d98daade58b11ff42a764",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-18T13:56:09Z",
    "title_canon_sha256": "af4761f5bf6829a1037f8fa9d0c4f859f242364173bc86e3b82ee9daf68fd838"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5125",
    "kind": "arxiv",
    "version": 3
  }
}