Pith Number

pith:C7J6HM6Y

pith:2015:C7J6HM6Y22ON5AS6YYKTWCQK7O

not attested not anchored not stored refs pending

Random walks colliding before getting trapped

Louigi Addario-Berry, Perla Sousi, Roberto I. Oliveira, Yuval Peres

arxiv:1506.07845 v1 · 2015-06-25 · 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{C7J6HM6Y22ON5AS6YYKTWCQK7O}

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	2026-05-18T01:38:50.646269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17d3e3b3d8d69cde825ec6153b0a0afb8c4707937c7926e86c5d1092d7a2615a

Aliases

arxiv: 1506.07845 · arxiv_version: 1506.07845v1 · doi: 10.48550/arxiv.1506.07845 · pith_short_12: C7J6HM6Y22ON · pith_short_16: C7J6HM6Y22ON5AS6 · pith_short_8: C7J6HM6Y

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/C7J6HM6Y22ON5AS6YYKTWCQK7O \
  | 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: 17d3e3b3d8d69cde825ec6153b0a0afb8c4707937c7926e86c5d1092d7a2615a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "814934bc73c07abc6f1d5ffcb74e5700062bdc35779a1ea6c193d850557bfe28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-25T18:33:59Z",
    "title_canon_sha256": "f2aa7debab4eebf39803c61f92acbb372a1f1cb8ac3669b4e16d3383b4dc8f67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07845",
    "kind": "arxiv",
    "version": 1
  }
}