Pith Number

pith:BFNLU6ZP

pith:2015:BFNLU6ZPXST7YLZ6EHLKTOKXHE

not attested not anchored not stored refs pending

The chromatic spectrum of signed graphs

Eckhard Steffen, Yingli Kang

arxiv:1510.00614 v1 · 2015-10-02 · 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{BFNLU6ZPXST7YLZ6EHLKTOKXHE}

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	2026-05-18T01:31:12.495093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

095aba7b2fbca7fc2f3e21d6a9b957393182793db10961dc9a0b120a49f44273

Aliases

arxiv: 1510.00614 · arxiv_version: 1510.00614v1 · doi: 10.48550/arxiv.1510.00614 · pith_short_12: BFNLU6ZPXST7 · pith_short_16: BFNLU6ZPXST7YLZ6 · pith_short_8: BFNLU6ZP

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/BFNLU6ZPXST7YLZ6EHLKTOKXHE \
  | 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: 095aba7b2fbca7fc2f3e21d6a9b957393182793db10961dc9a0b120a49f44273

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e81f2e295c3bb9f19256c69deedce6ca9ec2c4ed39a5532ae72ad5e2f5e59a91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-02T14:43:59Z",
    "title_canon_sha256": "2de02e1072ccdef56f6021a7dea959061d432a2bcd7fa16c3529f0ae4d442a01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00614",
    "kind": "arxiv",
    "version": 1
  }
}