Pith Number

pith:T3S2DQ27

pith:2015:T3S2DQ275DTXEKQO6RMINA7R5L

not attested not anchored not stored refs pending

On chromatic number of colored mixed graphs

Sagnik Sen, Sandip Das, Soumen Nandi

arxiv:1508.07222 v1 · 2015-08-28 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T3S2DQ275DTXEKQO6RMINA7R5L}

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	2026-05-18T01:34:36.575631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ee5a1c35fe8e7722a0ef4588683f1eaf74fb3811b4e68947e3b21ac48da5526

Aliases

arxiv: 1508.07222 · arxiv_version: 1508.07222v1 · doi: 10.48550/arxiv.1508.07222 · pith_short_12: T3S2DQ275DTX · pith_short_16: T3S2DQ275DTXEKQO · pith_short_8: T3S2DQ27

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/T3S2DQ275DTXEKQO6RMINA7R5L \
  | 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: 9ee5a1c35fe8e7722a0ef4588683f1eaf74fb3811b4e68947e3b21ac48da5526

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47018a028c6bff634ce4f1e1d3dff674476652166a821b424474d002f16d94a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2015-08-28T14:17:15Z",
    "title_canon_sha256": "177ab9577b8d4e1f8bd6382497ad07ee83fad3fd74c0ffb687dbc029c9bfb44d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07222",
    "kind": "arxiv",
    "version": 1
  }
}