Pith Number

pith:DQUXJKCR

pith:2010:DQUXJKCRXWITU3HOIUTZOECTDP

not attested not anchored not stored refs pending

"Explosive Percolation" Transition is Actually Continuous

A. V. Goltsev, J. F. F. Mendes, R. A. da Costa, S. N. Dorogovtsev

arxiv:1009.2534 v2 · 2010-09-13 · cond-mat.dis-nn · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DQUXJKCRXWITU3HOIUTZOECTDP}

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	2026-05-18T02:05:30.942059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c2974a851bd913a6cee45279710531bff4f5d7f9edb432654722db8bcd87eab

Aliases

arxiv: 1009.2534 · arxiv_version: 1009.2534v2 · doi: 10.48550/arxiv.1009.2534 · pith_short_12: DQUXJKCRXWIT · pith_short_16: DQUXJKCRXWITU3HO · pith_short_8: DQUXJKCR

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/DQUXJKCRXWITU3HOIUTZOECTDP \
  | 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: 1c2974a851bd913a6cee45279710531bff4f5d7f9edb432654722db8bcd87eab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5be6ab0848f7015e716627646c0dd08327463e75511f0b70dc9105fe11da109b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2010-09-13T22:38:58Z",
    "title_canon_sha256": "b45a5fac15b9abf48b32a8b8771e64e97e4b376da15cb209c0a40b51dc1b060f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2534",
    "kind": "arxiv",
    "version": 2
  }
}