Pith Number

pith:LHJSVINQ

pith:2006:LHJSVINQ6K4JKYS2US5HRIC4B4

not attested not anchored not stored refs pending

Tutte's 5-Flow Conjecture for Highly Cyclically Connected Cubic Graphs

Eckhard Steffen

arxiv:math/0607077 v2 · 2006-07-04 · 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{LHJSVINQ6K4JKYS2US5HRIC4B4}

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	2026-05-18T03:45:11.041964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59d32aa1b0f2b895625aa4ba78a05c0f23fdf7132d481f9a6e2a91f4a7f8ee5a

Aliases

arxiv: math/0607077 · arxiv_version: math/0607077v2 · doi: 10.48550/arxiv.math/0607077 · pith_short_12: LHJSVINQ6K4J · pith_short_16: LHJSVINQ6K4JKYS2 · pith_short_8: LHJSVINQ

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/LHJSVINQ6K4JKYS2US5HRIC4B4 \
  | 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: 59d32aa1b0f2b895625aa4ba78a05c0f23fdf7132d481f9a6e2a91f4a7f8ee5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6973963dcda923438034d105d57bd3ae340a53aeb08dd9feb6185530d67851c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2006-07-04T09:27:21Z",
    "title_canon_sha256": "0aced9454fce92142e70e23c99620548cacfda573b756449660b0004af9e80f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607077",
    "kind": "arxiv",
    "version": 2
  }
}