Pith Number

pith:QSBOUKI2

pith:2012:QSBOUKI2OJRLKJF7YKQEMZJQYF

not attested not anchored not stored refs pending

An almost linear time algorithm for finding Hamilton cycles in sparse random graphs with minimum degree at least three

Alan Frieze, Simi Haber

arxiv:1210.5999 v2 · 2012-10-22 · 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{QSBOUKI2OJRLKJF7YKQEMZJQYF}

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	2026-05-18T03:42:33.460759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8482ea291a7262b524bfc2a0466530c1551ae3e67c5702568725505c3282d6fe

Aliases

arxiv: 1210.5999 · arxiv_version: 1210.5999v2 · doi: 10.48550/arxiv.1210.5999 · pith_short_12: QSBOUKI2OJRL · pith_short_16: QSBOUKI2OJRLKJF7 · pith_short_8: QSBOUKI2

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/QSBOUKI2OJRLKJF7YKQEMZJQYF \
  | 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: 8482ea291a7262b524bfc2a0466530c1551ae3e67c5702568725505c3282d6fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01e87d0f81cc932849dc6eff8510795a969eae857bb97faca719a83568111f00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-22T18:57:47Z",
    "title_canon_sha256": "9fe030ec2c4e6199ccd1751c87a8d6cde23b92de4b310a6eb7a7bee689c0e058"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5999",
    "kind": "arxiv",
    "version": 2
  }
}