Pith Number

pith:NIBFG7I3

pith:2026:NIBFG7I3R6W6A6XTPIXZL6GUDG

not attested not anchored not stored refs pending

Efficient Hamilton covers and linear arboricity of random graphs

Michael Krivelevich, Nemanja Dragani\'c

arxiv:2607.14881 v1 · 2026-07-16 · 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{NIBFG7I3R6W6A6XTPIXZL6GUDG}

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	2026-07-17T01:21:56.839468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a02537d1b8fade07af37a2f95f8d4199faa649a095775b52889fd77a8ec8be0

Aliases

arxiv: 2607.14881 · arxiv_version: 2607.14881v1 · doi: 10.48550/arxiv.2607.14881 · pith_short_12: NIBFG7I3R6W6 · pith_short_16: NIBFG7I3R6W6A6XT · pith_short_8: NIBFG7I3

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/NIBFG7I3R6W6A6XTPIXZL6GUDG \
  | 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: 6a02537d1b8fade07af37a2f95f8d4199faa649a095775b52889fd77a8ec8be0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d65f8e5212a3ba0d342770a60bc034b45db0291fbb3c9e0bfb3935d0b960593",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-16T11:55:55Z",
    "title_canon_sha256": "161ad552a91074fde3065ef20a7aadbd3814e31bc7fb6ccdfad1dd94b60fb9d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14881",
    "kind": "arxiv",
    "version": 1
  }
}