Pith Number

pith:D5XDTN2B

pith:2013:D5XDTN2BBAK4BWBN2VSFHIPQY3

not attested not anchored not stored refs pending

Tight Hamilton cycles in random hypergraphs

Julia B\"ottcher, Peter Allen, Yoshiharu Kohayakawa, Yury Person

arxiv:1301.5836 v1 · 2013-01-24 · 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{D5XDTN2BBAK4BWBN2VSFHIPQY3}

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	2026-05-18T03:35:37.234176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f6e39b7410815c0d82dd56453a1f0c6f528e0f1d20b35a3b521db44a795bb1b

Aliases

arxiv: 1301.5836 · arxiv_version: 1301.5836v1 · doi: 10.48550/arxiv.1301.5836 · pith_short_12: D5XDTN2BBAK4 · pith_short_16: D5XDTN2BBAK4BWBN · pith_short_8: D5XDTN2B

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/D5XDTN2BBAK4BWBN2VSFHIPQY3 \
  | 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: 1f6e39b7410815c0d82dd56453a1f0c6f528e0f1d20b35a3b521db44a795bb1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0881d314aa38e912e5a34fbab56b8d81a1ca921df09f736744dc109b804928a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-24T16:44:03Z",
    "title_canon_sha256": "e4c0b7d76183f9666acdd331d63734a589a8bb260c02c6485fc150edccca479c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5836",
    "kind": "arxiv",
    "version": 1
  }
}