Pith Number

pith:FFO72H3V

pith:2014:FFO72H3VQIZ7N2VNISNNBLS2RF

not attested not anchored not stored refs pending

Component sizes for large quantum erdos renyi graph near criticality

Amir Dembo, Anna Levit, Sreekar Vadlamani

arxiv:1404.5705 v7 · 2014-04-23 · 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{FFO72H3VQIZ7N2VNISNNBLS2RF}

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	2026-05-17T23:57:03.619035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

295dfd1f758233f6eaad449ad0ae5a8952231381c3bf7a8798feb5672ea766c3

Aliases

arxiv: 1404.5705 · arxiv_version: 1404.5705v7 · doi: 10.48550/arxiv.1404.5705 · pith_short_12: FFO72H3VQIZ7 · pith_short_16: FFO72H3VQIZ7N2VN · pith_short_8: FFO72H3V

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/FFO72H3VQIZ7N2VNISNNBLS2RF \
  | 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: 295dfd1f758233f6eaad449ad0ae5a8952231381c3bf7a8798feb5672ea766c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea6755f52ab522113cbfd68eb22687790c347076a1ee79ac18d95f13359e0015",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-04-23T05:21:54Z",
    "title_canon_sha256": "c92519432d15d612cc00c88d0ad05f60db76bbfc053d37363bb5a7be54a5eaca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5705",
    "kind": "arxiv",
    "version": 7
  }
}