Pith Number

pith:4GTHBAGV

pith:2011:4GTHBAGVKPQLAXL72CW2VAL2V7

not attested not anchored not stored refs pending

Directed Nowhere Dense Classes of Graphs

Siamak Tazari, Stephan Kreutzer

arxiv:1104.3808 v1 · 2011-04-19 · cs.DM · cs.DS · 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{4GTHBAGVKPQLAXL72CW2VAL2V7}

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	2026-05-18T04:23:55.651442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1a67080d553e0b05d7fd0adaa817aafcde2b42f5511dc395be3603c8052c0f3

Aliases

arxiv: 1104.3808 · arxiv_version: 1104.3808v1 · doi: 10.48550/arxiv.1104.3808 · pith_short_12: 4GTHBAGVKPQL · pith_short_16: 4GTHBAGVKPQLAXL7 · pith_short_8: 4GTHBAGV

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/4GTHBAGVKPQLAXL72CW2VAL2V7 \
  | 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: e1a67080d553e0b05d7fd0adaa817aafcde2b42f5511dc395be3603c8052c0f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5af809eabc1bf85cbd308bb1e5eb16532547a1d13e422550187f592e7402a820",
    "cross_cats_sorted": [
      "cs.DS",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-04-19T17:24:20Z",
    "title_canon_sha256": "f35838265af17b40e0e72b7df6160fc7b301a777e05e05dc995e9beaa3975bf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3808",
    "kind": "arxiv",
    "version": 1
  }
}