Pith Number

pith:ZC2ETIIC

pith:2026:ZC2ETIICQUYIG4YKG665TG3N4D

not attested not anchored not stored refs pending

Asymptotic normality of the giant component size in a random bipartite graph

Dmitry Shabanov, Pavel Zakharov

arxiv:2607.15789 v1 · 2026-07-17 · 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{ZC2ETIICQUYIG4YKG665TG3N4D}

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	2026-07-20T01:19:10.148741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8b449a102853083730a37bdd99b6de0d0e76a911f5ba63c0381a1d8dc95ca7b

Aliases

arxiv: 2607.15789 · arxiv_version: 2607.15789v1 · doi: 10.48550/arxiv.2607.15789 · pith_short_12: ZC2ETIICQUYI · pith_short_16: ZC2ETIICQUYIG4YK · pith_short_8: ZC2ETIIC

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/ZC2ETIICQUYIG4YKG665TG3N4D \
  | 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: c8b449a102853083730a37bdd99b6de0d0e76a911f5ba63c0381a1d8dc95ca7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34cd493e067ac4a3afeaff7d28b79c94070c3663fb4537d28005cb790cc90dab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-17T09:50:14Z",
    "title_canon_sha256": "f6d0dffd5907e8e7b37ac95426e0c00ead9762915bf82f663b9da1c00e09e0a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15789",
    "kind": "arxiv",
    "version": 1
  }
}