Pith Number

pith:DXAMPJ6N

pith:2018:DXAMPJ6NZYGNGZAPJYKRPEQL5L

not attested not anchored not stored refs pending

Stability in Respect of Chromatic Completion of Graphs

Eunice Mphako-Banda, Johan Kok

arxiv:1810.13328 v1 · 2018-10-29 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DXAMPJ6NZYGNGZAPJYKRPEQL5L}

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	2026-05-18T00:01:49.676789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dc0c7a7cdce0cd3640f4e1517920beae0901734dcbe912fc49ad1bcc2da4d60

Aliases

arxiv: 1810.13328 · arxiv_version: 1810.13328v1 · doi: 10.48550/arxiv.1810.13328 · pith_short_12: DXAMPJ6NZYGN · pith_short_16: DXAMPJ6NZYGNGZAP · pith_short_8: DXAMPJ6N

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/DXAMPJ6NZYGNGZAPJYKRPEQL5L \
  | 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: 1dc0c7a7cdce0cd3640f4e1517920beae0901734dcbe912fc49ad1bcc2da4d60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c8c1c37f83fedd71898c77e13b41674a3bb264b304d8548682405f9867a524d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2018-10-29T06:48:54Z",
    "title_canon_sha256": "54d70cbfb61df5ee3dde798ab88c2764020a59df2efde2c95ad40c8e30187d31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.13328",
    "kind": "arxiv",
    "version": 1
  }
}