Pith Number

pith:IH4FXNJT

pith:2019:IH4FXNJT42WCPLXBWDYFQNYT7R

not attested not anchored not stored refs pending

On the achromatic number of signed graphs

Dimitri Lajou (LaBRI, UB)

arxiv:1902.04828 v1 · 2019-02-13 · math.CO · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IH4FXNJT42WCPLXBWDYFQNYT7R}

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	2026-05-17T23:54:05.821027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41f85bb533e6ac27aee1b0f0583713fc5930b049836cbafaccc611614c5e3833

Aliases

arxiv: 1902.04828 · arxiv_version: 1902.04828v1 · doi: 10.48550/arxiv.1902.04828 · pith_short_12: IH4FXNJT42WC · pith_short_16: IH4FXNJT42WCPLXB · pith_short_8: IH4FXNJT

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/IH4FXNJT42WCPLXBWDYFQNYT7R \
  | 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: 41f85bb533e6ac27aee1b0f0583713fc5930b049836cbafaccc611614c5e3833

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63de30b6d243f4a4f07656eeb1ed9a251d8ecc13f39bb62d2c0429d479361c23",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-02-13T10:03:26Z",
    "title_canon_sha256": "1e84846e13c382aeca6c644a9829d030033b2fbd8e9d4f7e022444584857787f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.04828",
    "kind": "arxiv",
    "version": 1
  }
}