Pith Number

pith:IULLO7Z2

pith:2007:IULLO7Z2DQOUUS6ZIJ3MGDJUPW

not attested not anchored not stored refs pending

Asymmetry of near-critical percolation interfaces

LM-Orsay), Pierre Nolin (DMA, Wendelin Werner (DMA

arxiv:0710.1470 v1 · 2007-10-08 · 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{IULLO7Z2DQOUUS6ZIJ3MGDJUPW}

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	2026-05-18T00:40:08.909050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4516b77f3a1c1d4a4bd94276c30d347d853f1511dd34812fbf4dd4f38db2ff79

Aliases

arxiv: 0710.1470 · arxiv_version: 0710.1470v1 · doi: 10.48550/arxiv.0710.1470 · pith_short_12: IULLO7Z2DQOU · pith_short_16: IULLO7Z2DQOUUS6Z · pith_short_8: IULLO7Z2

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/IULLO7Z2DQOUUS6ZIJ3MGDJUPW \
  | 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: 4516b77f3a1c1d4a4bd94276c30d347d853f1511dd34812fbf4dd4f38db2ff79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b13738ccacb329706f4f1cbe045197fdf5c315e2b3ed07b1dea58b292390adc9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-10-08T06:23:02Z",
    "title_canon_sha256": "6ca81c665e739fe1e2779d676592c7074701b31fce08e7e7526b38eeeb9d8be5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.1470",
    "kind": "arxiv",
    "version": 1
  }
}