Pith Number

pith:PLSM37VT

pith:2013:PLSM37VTX5HKN4OHK3DKHHM76I

not attested not anchored not stored refs pending

Immersions in highly edge connected graphs

Daniel Marx, Paul Wollan

arxiv:1305.1331 v3 · 2013-05-06 · 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{PLSM37VTX5HKN4OHK3DKHHM76I}

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	2026-05-18T03:02:34.954535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ae4cdfeb3bf4ea6f1c756c6a39d9ff22e5e4512ee3e3087b187dbf1db5459ea

Aliases

arxiv: 1305.1331 · arxiv_version: 1305.1331v3 · doi: 10.48550/arxiv.1305.1331 · pith_short_12: PLSM37VTX5HK · pith_short_16: PLSM37VTX5HKN4OH · pith_short_8: PLSM37VT

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/PLSM37VTX5HKN4OHK3DKHHM76I \
  | 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: 7ae4cdfeb3bf4ea6f1c756c6a39d9ff22e5e4512ee3e3087b187dbf1db5459ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62911b92a9dae417acf07e7e9e141f9cd4dab5e48de8044489bbbd8ca613f084",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-06T21:00:38Z",
    "title_canon_sha256": "769c93e91d9b7c96435250af2b2b7f5747eab222b1f4b49a78ae25051b0168cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1331",
    "kind": "arxiv",
    "version": 3
  }
}