Pith Number

pith:MN3KPYMQ

pith:2013:MN3KPYMQVDMDLYYLNDMXG6REPM

not attested not anchored not stored refs pending

Tracking rates of random walks

Alessandro Sisto

arxiv:1305.5472 v1 · 2013-05-23 · math.GR · math.GT · 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{MN3KPYMQVDMDLYYLNDMXG6REPM}

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	2026-05-18T03:25:04.700667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6376a7e190a8d835e30b68d9737a247b18f81deca628b0f53a1da18815bc29a8

Aliases

arxiv: 1305.5472 · arxiv_version: 1305.5472v1 · doi: 10.48550/arxiv.1305.5472 · pith_short_12: MN3KPYMQVDMD · pith_short_16: MN3KPYMQVDMDLYYL · pith_short_8: MN3KPYMQ

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/MN3KPYMQVDMDLYYLNDMXG6REPM \
  | 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: 6376a7e190a8d835e30b68d9737a247b18f81deca628b0f53a1da18815bc29a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bc753ecac7ee645edb52833a62ec7c895b100c75449eeffd937d7f71ed1fcad",
    "cross_cats_sorted": [
      "math.GT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-05-23T16:04:04Z",
    "title_canon_sha256": "805d7c5781a7aeaca40f5d700b0b2f643f34de954233cfd4f1afd2547cfa3515"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5472",
    "kind": "arxiv",
    "version": 1
  }
}