Pith Number

pith:EYCWWC6F

pith:2013:EYCWWC6FY3A5ZKTQDDWAPVW2RP

not attested not anchored not stored refs pending

Immersion in four-edge-connected graphs

Maria Chudnovsky, Paul Seymour, Tereza Klimo\v{s}ov\'a, Zden\v{e}k Dvo\v{r}\'ak

arxiv:1308.0827 v1 · 2013-08-04 · 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{EYCWWC6FY3A5ZKTQDDWAPVW2RP}

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	2026-05-18T03:16:48.041930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26056b0bc5c6c1dcaa7018ec07d6da8bd7981a7a8fda03588942fcb8df7d1a54

Aliases

arxiv: 1308.0827 · arxiv_version: 1308.0827v1 · doi: 10.48550/arxiv.1308.0827 · pith_short_12: EYCWWC6FY3A5 · pith_short_16: EYCWWC6FY3A5ZKTQ · pith_short_8: EYCWWC6F

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/EYCWWC6FY3A5ZKTQDDWAPVW2RP \
  | 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: 26056b0bc5c6c1dcaa7018ec07d6da8bd7981a7a8fda03588942fcb8df7d1a54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0df9074a9b299524c800ff2213ee510c87813867c4b177b63baed445cef0ee4a",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-04T16:49:53Z",
    "title_canon_sha256": "68814728dd8cee739514d3928342d882ed1256277ae129b3d6b2da0480942949"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0827",
    "kind": "arxiv",
    "version": 1
  }
}