Pith Number

pith:5WODVVNU

pith:2011:5WODVVNUHQMFBLIOXTTKIMY2MU

not attested not anchored not stored refs pending

Brownian Web and Oriented Percolation: Density Bounds

Anish Sarkar, Rongfeng Sun

arxiv:1111.2449 v1 · 2011-11-10 · 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{5WODVVNUHQMFBLIOXTTKIMY2MU}

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	2026-05-18T04:08:34.133367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed9c3ad5b43c1850ad0ebce6a4331a6512f07cccf4ef3cef38eab60428872f7f

Aliases

arxiv: 1111.2449 · arxiv_version: 1111.2449v1 · doi: 10.48550/arxiv.1111.2449 · pith_short_12: 5WODVVNUHQMF · pith_short_16: 5WODVVNUHQMFBLIO · pith_short_8: 5WODVVNU

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/5WODVVNUHQMFBLIOXTTKIMY2MU \
  | 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: ed9c3ad5b43c1850ad0ebce6a4331a6512f07cccf4ef3cef38eab60428872f7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02a376db5e7f0eb75f1b2fe13df92993c42b98d455ab9efc74638c856a2b817f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-10T11:50:08Z",
    "title_canon_sha256": "c54052cda40cfc05511735cc72c5e1ee8dc73bec16d592937ae518f9535fa2b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2449",
    "kind": "arxiv",
    "version": 1
  }
}