Pith Number

pith:ONG73XZU

pith:2007:ONG73XZU4MWCLGXU62I3H5UY3N

not attested not anchored not stored refs pending

Reconstruction for Colorings on Trees

Dror Weitz, Eric Vigoda, Juan Vera, Nayantara Bhatnagar

arxiv:0711.3664 v3 · 2007-11-23 · math.PR · math-ph · math.CO · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ONG73XZU4MWCLGXU62I3H5UY3N}

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	2026-05-18T04:16:52.519613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

734dfddf34e32c259af4f691b3f698db4ac15e589991dccf862ef7ee8fdfde23

Aliases

arxiv: 0711.3664 · arxiv_version: 0711.3664v3 · doi: 10.48550/arxiv.0711.3664 · pith_short_12: ONG73XZU4MWC · pith_short_16: ONG73XZU4MWCLGXU · pith_short_8: ONG73XZU

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/ONG73XZU4MWCLGXU62I3H5UY3N \
  | 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: 734dfddf34e32c259af4f691b3f698db4ac15e589991dccf862ef7ee8fdfde23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b02fa580a051358983c14f2f8459c5dd1a943b881b7589cb34ab7e2c3c672960",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2007-11-23T03:12:09Z",
    "title_canon_sha256": "77a4f5565f72c45f1ff05fee5242321c41d796c3c4e4b3e5f588adf13333d7ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.3664",
    "kind": "arxiv",
    "version": 3
  }
}