Pith Number

pith:KDYTQ4XX

pith:2015:KDYTQ4XXWSBVHBCQT7U2T5D5PX

not attested not anchored not stored refs pending

Choosability in signed planar graphs

Eckhard Steffen, Ligang Jin, Yingli Kang

arxiv:1502.04561 v2 · 2015-02-16 · 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{KDYTQ4XXWSBVHBCQT7U2T5D5PX}

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	2026-05-18T00:50:07.159719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50f13872f7b4835384509fe9a9f47d7ddf9e42db578ff252993e1a4ca8aa476e

Aliases

arxiv: 1502.04561 · arxiv_version: 1502.04561v2 · doi: 10.48550/arxiv.1502.04561 · pith_short_12: KDYTQ4XXWSBV · pith_short_16: KDYTQ4XXWSBVHBCQ · pith_short_8: KDYTQ4XX

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/KDYTQ4XXWSBVHBCQT7U2T5D5PX \
  | 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: 50f13872f7b4835384509fe9a9f47d7ddf9e42db578ff252993e1a4ca8aa476e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc3a4582f3f08d1b37581a87aec2cfd471b54e8a53583da71d3dc227606d0126",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-16T14:54:19Z",
    "title_canon_sha256": "0960660d40d38c89539598e95978992f7597f372ad5511644d1f1e550f134690"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04561",
    "kind": "arxiv",
    "version": 2
  }
}