Pith Number

pith:CLLP6VFQ

pith:2015:CLLP6VFQQGPKXP66PM4URU3TUA

not attested not anchored not stored refs pending

Nowhere-zero 9-flows in 3-edge-connected signed graphs

Fan Yang, Sanming Zhou

arxiv:1508.04620 v3 · 2015-08-19 · 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{CLLP6VFQQGPKXP66PM4URU3TUA}

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	2026-05-18T01:17:18.903033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12d6ff54b0819eabbfde7b3948d373a03b4fec91e08e5e3c332c0bacb13dfd85

Aliases

arxiv: 1508.04620 · arxiv_version: 1508.04620v3 · doi: 10.48550/arxiv.1508.04620 · pith_short_12: CLLP6VFQQGPK · pith_short_16: CLLP6VFQQGPKXP66 · pith_short_8: CLLP6VFQ

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/CLLP6VFQQGPKXP66PM4URU3TUA \
  | 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: 12d6ff54b0819eabbfde7b3948d373a03b4fec91e08e5e3c332c0bacb13dfd85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd1b68a6df1add2f397f0faf54b518b88f597fc16eb4bc059475c22ddf180218",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-19T12:43:32Z",
    "title_canon_sha256": "a0b9d66f4fdf9a1de981f0853aa26f1c04702ac9f20be93fb7cba6a1f26c5ffd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04620",
    "kind": "arxiv",
    "version": 3
  }
}