Pith Number

pith:BHA63IYL

pith:2013:BHA63IYLQZCD6ABJT2RXXETDWG

not attested not anchored not stored refs pending

Nowhere-zero flows on signed regular graphs

Eckhard Steffen, Michael Schubert

arxiv:1307.1562 v4 · 2013-07-05 · math.CO · 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{BHA63IYLQZCD6ABJT2RXXETDWG}

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	2026-05-18T01:32:42.063865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09c1eda30b86443f00299ea37b9263b1b651db5b20505285b33c124f69db731f

Aliases

arxiv: 1307.1562 · arxiv_version: 1307.1562v4 · doi: 10.48550/arxiv.1307.1562 · pith_short_12: BHA63IYLQZCD · pith_short_16: BHA63IYLQZCD6ABJ · pith_short_8: BHA63IYL

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/BHA63IYLQZCD6ABJT2RXXETDWG \
  | 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: 09c1eda30b86443f00299ea37b9263b1b651db5b20505285b33c124f69db731f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d648ea3f06095bff3665ddfbf9fdce9a0e2d819b230c480605c16c3f28e4945b",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-05T09:31:30Z",
    "title_canon_sha256": "5ec6674b1f6aa8e1dd5c393f400693b270d42bbf5d8a1fd37298d3eb558d21da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1562",
    "kind": "arxiv",
    "version": 4
  }
}