Pith Number

pith:4KGT6U4H

pith:2017:4KGT6U4HTYN22COM6OV237MTAZ

not attested not anchored not stored refs pending

On the $\alpha$-index of graphs with pendent paths

Oscar Rojo, Vladimir Nikiforov

arxiv:1710.10484 v1 · 2017-10-28 · 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{4KGT6U4HTYN22COM6OV237MTAZ}

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	2026-05-18T00:31:49.385599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e28d3f53879e1bad09ccf3abadfd930668b0f888031897b33569e4eda44b7216

Aliases

arxiv: 1710.10484 · arxiv_version: 1710.10484v1 · doi: 10.48550/arxiv.1710.10484 · pith_short_12: 4KGT6U4HTYN2 · pith_short_16: 4KGT6U4HTYN22COM · pith_short_8: 4KGT6U4H

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/4KGT6U4HTYN22COM6OV237MTAZ \
  | 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: e28d3f53879e1bad09ccf3abadfd930668b0f888031897b33569e4eda44b7216

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c943ae6a3a16ed091e2199b289a914352cae0043c1d155aa701241508c16b33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-28T15:32:29Z",
    "title_canon_sha256": "1b6036812595528f205fe3cb161fc3c3ec6aaf6692c7ea17e54043a2e9364a75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10484",
    "kind": "arxiv",
    "version": 1
  }
}