Pith Number

pith:UVEEXRY3

pith:2022:UVEEXRY34NA4LVYY2XRETYEWYE

not attested not anchored not stored refs pending

On the Last New Vertex Visited by a Random Walk in a Directed Graph

Calum Buchanan, Paul Horn, Puck Rombach

arxiv:2209.08079 v2 · 2022-09-16 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UVEEXRY34NA4LVYY2XRETYEWYE}

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	2026-07-05T05:50:08.421705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5484bc71be341c5d718d5e249e096c106a63039fb5c4024de3d30dcf35c32ef

Aliases

arxiv: 2209.08079 · arxiv_version: 2209.08079v2 · doi: 10.48550/arxiv.2209.08079 · pith_short_12: UVEEXRY34NA4 · pith_short_16: UVEEXRY34NA4LVYY · pith_short_8: UVEEXRY3

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/UVEEXRY34NA4LVYY2XRETYEWYE \
  | 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: a5484bc71be341c5d718d5e249e096c106a63039fb5c4024de3d30dcf35c32ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6612c0fb770b661829e8e80bd1f44d3f9052ff08010fdef5e0537d13b893c1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-09-16T17:44:23Z",
    "title_canon_sha256": "6a297d1f3192d5e69dd0ea7a3d5a0bd6d9401335b18b1a86da8e7c991cb40717"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.08079",
    "kind": "arxiv",
    "version": 2
  }
}