Pith Number

pith:EF6RIN3S

pith:2013:EF6RIN3SPWRJLCACFAGZK5BKPH

not attested not anchored not stored refs pending

Edge-colorings and circular flow numbers on regular graphs

Eckhard Steffen

arxiv:1310.8441 v1 · 2013-10-31 · 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{EF6RIN3SPWRJLCACFAGZK5BKPH}

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	2026-05-18T01:32:42.013405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

217d1437727da2958802280d95742a79e1206476d559baedcad603de4152898f

Aliases

arxiv: 1310.8441 · arxiv_version: 1310.8441v1 · doi: 10.48550/arxiv.1310.8441 · pith_short_12: EF6RIN3SPWRJ · pith_short_16: EF6RIN3SPWRJLCAC · pith_short_8: EF6RIN3S

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/EF6RIN3SPWRJLCACFAGZK5BKPH \
  | 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: 217d1437727da2958802280d95742a79e1206476d559baedcad603de4152898f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d03855551c7a9a777b9e69e2c47f24ff1113be521f619122a0c72825b76f73d5",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-31T10:12:30Z",
    "title_canon_sha256": "3b93c3ba5be9f6b01eedb490643c654858c636438df6e0e081c6154c09e7772b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.8441",
    "kind": "arxiv",
    "version": 1
  }
}