Pith Number

pith:QFAKW6EF

pith:2015:QFAKW6EFHDFQBOBGAGVL3OFX62

not attested not anchored not stored refs pending

Mean-field behavior for nearest-neighbor percolation in $d>10$

Remco van der Hofstad, Robert Fitzner

arxiv:1506.07977 v2 · 2015-06-26 · math.PR · 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{QFAKW6EFHDFQBOBGAGVL3OFX62}

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	2026-05-18T00:48:05.902408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8140ab788538cb00b82601aabdb8b7f688bf91ab46aa168257c1bda8167dcdca

Aliases

arxiv: 1506.07977 · arxiv_version: 1506.07977v2 · doi: 10.48550/arxiv.1506.07977 · pith_short_12: QFAKW6EFHDFQ · pith_short_16: QFAKW6EFHDFQBOBG · pith_short_8: QFAKW6EF

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/QFAKW6EFHDFQBOBGAGVL3OFX62 \
  | 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: 8140ab788538cb00b82601aabdb8b7f688bf91ab46aa168257c1bda8167dcdca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de8036852748e1e8854023a7cdc521db515f53398f07b4ca4cd0af1016848477",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-26T07:42:29Z",
    "title_canon_sha256": "1fda3e5b1537ab13465cda65daab7814e769a8c1f80b7644924e4d27eaa44aa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07977",
    "kind": "arxiv",
    "version": 2
  }
}