Pith Number

pith:VZXEOOM5

pith:2015:VZXEOOM5RCD4275IHP2HRRHXYV

not attested not anchored not stored refs pending

Packing, Counting and Covering Hamilton cycles in random directed graphs

Asaf Ferber, Eoin Long, Gal Kronenberg

arxiv:1506.00618 v2 · 2015-06-01 · 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{VZXEOOM5RCD4275IHP2HRRHXYV}

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	2026-05-18T01:01:01.600903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae6e47399d8887cd7fa83bf478c4f7c558877f3325798f23c286d799a36bab63

Aliases

arxiv: 1506.00618 · arxiv_version: 1506.00618v2 · doi: 10.48550/arxiv.1506.00618 · pith_short_12: VZXEOOM5RCD4 · pith_short_16: VZXEOOM5RCD4275I · pith_short_8: VZXEOOM5

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/VZXEOOM5RCD4275IHP2HRRHXYV \
  | 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: ae6e47399d8887cd7fa83bf478c4f7c558877f3325798f23c286d799a36bab63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01c8ab2350ac401b3f4bfd4073102c30dd31a2c9172458aa0137265643dc0aca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-01T19:25:47Z",
    "title_canon_sha256": "08f1b54be2f93da3592c3e86c5ae72b108f94ef709ebd134eb13c8a4fe92a07d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00618",
    "kind": "arxiv",
    "version": 2
  }
}