Pith Number

pith:KLF6SSFS

pith:2017:KLF6SSFSVEQHNDMOLU3Y76ZVBC

not attested not anchored not stored refs pending

Distance ideals of graphs

Carlos A. Alfaro, Libby Taylor

arxiv:1709.10178 v2 · 2017-09-28 · 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{KLF6SSFSVEQHNDMOLU3Y76ZVBC}

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	2026-05-18T00:18:41.356169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52cbe948b2a920768d8e5d378ffb3508b9017308e7dff6357a07e7d7d70dc896

Aliases

arxiv: 1709.10178 · arxiv_version: 1709.10178v2 · doi: 10.48550/arxiv.1709.10178 · pith_short_12: KLF6SSFSVEQH · pith_short_16: KLF6SSFSVEQHNDMO · pith_short_8: KLF6SSFS

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/KLF6SSFSVEQHNDMOLU3Y76ZVBC \
  | 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: 52cbe948b2a920768d8e5d378ffb3508b9017308e7dff6357a07e7d7d70dc896

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c057ef472d62b842dedbe2c4772c6254f2ba236d9cbed25385c757bb2ed26fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-28T21:44:25Z",
    "title_canon_sha256": "22473d07f3c304a5dbdf2dac3a1211c8e1a9387c4bcd134fe6e4c05214182bca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.10178",
    "kind": "arxiv",
    "version": 2
  }
}