Pith Number

pith:UXAE2Q5L

pith:2005:UXAE2Q5LJ42BRXGHNXTFIEU4GH

not attested not anchored not stored refs pending

On bounds for some graph invariants

Carlos E. Valencia, Isidoro Gitler

arxiv:math/0510387 v3 · 2005-10-18 · 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{UXAE2Q5LJ42BRXGHNXTFIEU4GH}

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	2026-05-18T03:14:30.744299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5c04d43ab4f3418dcc76de654129c31caadd34dd1f646176857b40a03133946

Aliases

arxiv: math/0510387 · arxiv_version: math/0510387v3 · doi: 10.48550/arxiv.math/0510387 · pith_short_12: UXAE2Q5LJ42B · pith_short_16: UXAE2Q5LJ42BRXGH · pith_short_8: UXAE2Q5L

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/UXAE2Q5LJ42BRXGHNXTFIEU4GH \
  | 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: a5c04d43ab4f3418dcc76de654129c31caadd34dd1f646176857b40a03133946

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f8c5ca8b964612d9b828066ff7e79a2759d984cde139195afceda92b6ec4bf7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2005-10-18T17:44:23Z",
    "title_canon_sha256": "17c3bd45e37d6f48315bbf78d60c588b54591d52256ca9877e86921d2567424f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0510387",
    "kind": "arxiv",
    "version": 3
  }
}