Pith Number

pith:CYMSU4ZL

pith:2020:CYMSU4ZLSSU5X2VZIDSJOWR5IZ

not attested not anchored not stored refs pending

Collisions of Random Walks in Dynamic Random Environments

Noah Halberstam, Tom Hutchcroft

arxiv:2009.13951 v1 · 2020-09-29 · 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{CYMSU4ZLSSU5X2VZIDSJOWR5IZ}

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	2026-07-05T01:38:46.747871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16192a732b94a9dbeab940e4975a3d466a1ff3ee045be9cf1cec36487195eac3

Aliases

arxiv: 2009.13951 · arxiv_version: 2009.13951v1 · doi: 10.48550/arxiv.2009.13951 · pith_short_12: CYMSU4ZLSSU5 · pith_short_16: CYMSU4ZLSSU5X2VZ · pith_short_8: CYMSU4ZL

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/CYMSU4ZLSSU5X2VZIDSJOWR5IZ \
  | 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: 16192a732b94a9dbeab940e4975a3d466a1ff3ee045be9cf1cec36487195eac3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5242c111f4b781f341d8f28740d679621f40909f5d1b6aadf0bb46e02c60ee57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-09-29T12:14:50Z",
    "title_canon_sha256": "efab708fac122418074794f11f135057a93dcdf651de8fd599f77626d4c8caf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.13951",
    "kind": "arxiv",
    "version": 1
  }
}