Pith Number

pith:OBEZ2OKI

pith:2020:OBEZ2OKI2QLA7X4SQFCG4PVSXV

not attested not anchored not stored refs pending

Hamiltonicity of random subgraphs of the hypercube

Alberto Espuny D\'iaz, Ant\'onio Gir\~ao, Daniela K\"uhn, Deryk Osthus, Padraig Condon

arxiv:2007.02891 v2 · 2020-07-06 · 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{OBEZ2OKI2QLA7X4SQFCG4PVSXV}

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	2026-07-05T04:48:05.910072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70499d3948d4160fdf9281446e3eb2bd446ceccd09f781b36391df959f95a7ab

Aliases

arxiv: 2007.02891 · arxiv_version: 2007.02891v2 · doi: 10.48550/arxiv.2007.02891 · pith_short_12: OBEZ2OKI2QLA · pith_short_16: OBEZ2OKI2QLA7X4S · pith_short_8: OBEZ2OKI

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/OBEZ2OKI2QLA7X4SQFCG4PVSXV \
  | 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: 70499d3948d4160fdf9281446e3eb2bd446ceccd09f781b36391df959f95a7ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0e7535f0c13bf4ada4f59795b5e8bf3de847570cad57b95a4a8ecb20c4d4b90",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-07-06T17:07:05Z",
    "title_canon_sha256": "a24ac0f1f668422c2c0c18167cce6867d94c3613883fd1888ba35c66f359342b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.02891",
    "kind": "arxiv",
    "version": 2
  }
}