Pith Number

pith:3LFM6UP5

pith:2015:3LFM6UP57EZVGWU665MSXFDU4V

not attested not anchored not stored refs pending

Vertex reinforced non-backtracking random walks: an example of path formation

Line C. Le Goff, Olivier Raimond

arxiv:1506.01239 v3 · 2015-06-03 · 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{3LFM6UP57EZVGWU665MSXFDU4V}

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	2026-05-18T00:39:07.306685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dacacf51fdf933535a9ef7592b9474e5416a39f4bf2b48943f3260f2161e3165

Aliases

arxiv: 1506.01239 · arxiv_version: 1506.01239v3 · doi: 10.48550/arxiv.1506.01239 · pith_short_12: 3LFM6UP57EZV · pith_short_16: 3LFM6UP57EZVGWU6 · pith_short_8: 3LFM6UP5

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/3LFM6UP57EZVGWU665MSXFDU4V \
  | 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: dacacf51fdf933535a9ef7592b9474e5416a39f4bf2b48943f3260f2161e3165

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ada1f43e710923109cde4ea6c0f3ef4c292bf8df51b3df334c925767a6186eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-03T13:03:47Z",
    "title_canon_sha256": "50a00a664de6a482f6f5bb0963d5dd782bc31825719c2640e74fc8cc98b13714"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01239",
    "kind": "arxiv",
    "version": 3
  }
}