Pith Number

pith:P3AUBYMB

pith:2010:P3AUBYMBZPSNJEFTHSVAB6L7Q3

not attested not anchored not stored refs pending

Nonintersecting random walks in the neighborhood of a symmetric tacnode

Mark Adler, Patrik L. Ferrari, Pierre van Moerbeke

arxiv:1007.1163 v3 · 2010-07-07 · math-ph · math.MP · 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{P3AUBYMBZPSNJEFTHSVAB6L7Q3}

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	2026-05-18T03:17:44.949919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ec140e181cbe4d490b33caa00f97f86dfbac47e027e117f9660604554f7f3d1

Aliases

arxiv: 1007.1163 · arxiv_version: 1007.1163v3 · doi: 10.48550/arxiv.1007.1163 · pith_short_12: P3AUBYMBZPSN · pith_short_16: P3AUBYMBZPSNJEFT · pith_short_8: P3AUBYMB

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/P3AUBYMBZPSNJEFTHSVAB6L7Q3 \
  | 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: 7ec140e181cbe4d490b33caa00f97f86dfbac47e027e117f9660604554f7f3d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3dacebebf4cf0dd5c58aafdac443846996b742638d71faaba5769baa3e674ae",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-07-07T15:22:19Z",
    "title_canon_sha256": "c62a927fd47e170f93ba60912836544f2a4430a6e8ab0b54276e1dc201746703"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1163",
    "kind": "arxiv",
    "version": 3
  }
}