Pith Number

pith:AMJTYYGF

pith:2020:AMJTYYGF5SM5C4NIN4BBE7EQ6R

not attested not anchored not stored refs pending

Markovian linearization of random walks on groups

Bastien Dubail, Charles Bordenave

arxiv:2011.14127 v2 · 2020-11-28 · 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{AMJTYYGF5SM5C4NIN4BBE7EQ6R}

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	2026-07-05T03:53:34.469107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03133c60c5ec99d171a86f02127c90f46173e0f037fc1b0cf7a087506775dd16

Aliases

arxiv: 2011.14127 · arxiv_version: 2011.14127v2 · doi: 10.48550/arxiv.2011.14127 · pith_short_12: AMJTYYGF5SM5 · pith_short_16: AMJTYYGF5SM5C4NI · pith_short_8: AMJTYYGF

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/AMJTYYGF5SM5C4NIN4BBE7EQ6R \
  | 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: 03133c60c5ec99d171a86f02127c90f46173e0f037fc1b0cf7a087506775dd16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9424dea20b7c716437020dedbf41cc2bb4de183160aac8f35e6d3131efab8daa",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-11-28T13:02:58Z",
    "title_canon_sha256": "37b37c14a7a85cb1a24d78e0e6e188a6e63d33e6f4d0bd1947e6744fff8ded3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.14127",
    "kind": "arxiv",
    "version": 2
  }
}