Pith Number

pith:J3SAW3LT

pith:2010:J3SAW3LTCP6KCTZFBBVQQGOAYC

not attested not anchored not stored refs pending

On the fragmentation of a torus by random walk

Augusto Teixeira, David Windisch

arxiv:1007.0902 v1 · 2010-07-06 · 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{J3SAW3LTCP6KCTZFBBVQQGOAYC}

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	2026-05-18T03:16:59.275025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ee40b6d7313fca14f25086b0819c0c09dd3b915bc21f24c5d1fddd2d31a95b4

Aliases

arxiv: 1007.0902 · arxiv_version: 1007.0902v1 · doi: 10.48550/arxiv.1007.0902 · pith_short_12: J3SAW3LTCP6K · pith_short_16: J3SAW3LTCP6KCTZF · pith_short_8: J3SAW3LT

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/J3SAW3LTCP6KCTZFBBVQQGOAYC \
  | 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: 4ee40b6d7313fca14f25086b0819c0c09dd3b915bc21f24c5d1fddd2d31a95b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4c962fc963977b1458ae46a2530517b4062217511b829d340dab1647b9f299c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-07-06T14:20:52Z",
    "title_canon_sha256": "335b53de4e19253bb114b4e134f78cb40fafe53b4050154d131eb6e37edf15fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0902",
    "kind": "arxiv",
    "version": 1
  }
}