Pith Number

pith:DWDFYRW2

pith:2014:DWDFYRW2XYIQYLLNDAQOV34SNQ

not attested not anchored not stored refs pending

Hyperbolicity, degeneracy, and expansion of random intersection graphs

Blair D. Sullivan, Felix Reidl, Fernando S\'anchez Villaamil, Matthew Farrell, Nathan Lemons, Timothy Goodrich

arxiv:1409.8196 v7 · 2014-09-29 · cs.SI · 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{DWDFYRW2XYIQYLLNDAQOV34SNQ}

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	2026-05-18T00:51:03.507870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d865c46dabe110c2d6d1820eaef926c1b93dc4c7109254a887f5b30dd86beb0

Aliases

arxiv: 1409.8196 · arxiv_version: 1409.8196v7 · doi: 10.48550/arxiv.1409.8196 · pith_short_12: DWDFYRW2XYIQ · pith_short_16: DWDFYRW2XYIQYLLN · pith_short_8: DWDFYRW2

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/DWDFYRW2XYIQYLLNDAQOV34SNQ \
  | 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: 1d865c46dabe110c2d6d1820eaef926c1b93dc4c7109254a887f5b30dd86beb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20312b11944bd63b395aed36f800bc9a363a03735aca1ce72b74a50ce0dbfc67",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2014-09-29T17:16:32Z",
    "title_canon_sha256": "002cde86dd5358cd084c0b94fdac113e67fadff4205cc87fd2e09505a4620bb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8196",
    "kind": "arxiv",
    "version": 7
  }
}