Pith Number

pith:PJYFX652

pith:2009:PJYFX6525HBTKFW7VKSA4M3LSU

not attested not anchored not stored refs pending

Nowhere-Harmonic Colorings of Graphs

Benjamin Braun, Matthias Beck

arxiv:0907.1272 v3 · 2009-07-07 · 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{PJYFX6525HBTKFW7VKSA4M3LSU}

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	2026-05-18T04:35:47.873586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a705bfbbae9c33516dfaaa40e336b950462eec0940edc060f10edc92988697b

Aliases

arxiv: 0907.1272 · arxiv_version: 0907.1272v3 · doi: 10.48550/arxiv.0907.1272 · pith_short_12: PJYFX6525HBT · pith_short_16: PJYFX6525HBTKFW7 · pith_short_8: PJYFX652

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/PJYFX6525HBTKFW7VKSA4M3LSU \
  | 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: 7a705bfbbae9c33516dfaaa40e336b950462eec0940edc060f10edc92988697b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "055aeb1efa91d3d7b14ebe0eb7b5dca254fb734faa56e9fee30818d8dbe0318e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-07-07T18:41:05Z",
    "title_canon_sha256": "f670f99e9258a0ca45625bfe04921a11aeabf225fc7966cc22d6eee2d65ee58f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.1272",
    "kind": "arxiv",
    "version": 3
  }
}