Pith Number

pith:3L3FTAPE

pith:2015:3L3FTAPEM6OIIPCFJDJDKD3HE3

not attested not anchored not stored refs pending

On the Rigidity of Sparse Random Graphs

Jonathan Mosheiff, Nati Linial

arxiv:1505.01189 v1 · 2015-05-05 · math.CO · cs.DM · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3L3FTAPEM6OIIPCFJDJDKD3HE3}

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	2026-05-18T00:12:41.066491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daf65981e4679c843c4548d2350f6726e6d75e3014ba5fdbd82ebcef1a0f9542

Aliases

arxiv: 1505.01189 · arxiv_version: 1505.01189v1 · doi: 10.48550/arxiv.1505.01189 · pith_short_12: 3L3FTAPEM6OI · pith_short_16: 3L3FTAPEM6OIIPCF · pith_short_8: 3L3FTAPE

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/3L3FTAPEM6OIIPCFJDJDKD3HE3 \
  | 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: daf65981e4679c843c4548d2350f6726e6d75e3014ba5fdbd82ebcef1a0f9542

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5843568f41d742f232e5f7647dc4b6a918bd0b972553989b49a3694af4b7207e",
    "cross_cats_sorted": [
      "cs.DM",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-05-05T21:20:06Z",
    "title_canon_sha256": "1dbed90e86a3b96f712e9b6ac67c7e9c2ed3e5bfe95674b90839ba23f9a8cc2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01189",
    "kind": "arxiv",
    "version": 1
  }
}