Pith Number

pith:A6XNNAE4

pith:2020:A6XNNAE42JTJM6533GADJEYZ2U

not attested not anchored not stored refs pending

Almost sure behavior of linearly edge-reinforced random walks on the half-line

Masato Takei

arxiv:2005.11135 v2 · 2020-05-22 · 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{A6XNNAE42JTJM6533GADJEYZ2U}

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	2026-07-05T01:22:01.949213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07aed6809cd266967bbbd980349319d523d1043612bdc24b15f16983c1810eec

Aliases

arxiv: 2005.11135 · arxiv_version: 2005.11135v2 · doi: 10.48550/arxiv.2005.11135 · pith_short_12: A6XNNAE42JTJ · pith_short_16: A6XNNAE42JTJM653 · pith_short_8: A6XNNAE4

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/A6XNNAE42JTJM6533GADJEYZ2U \
  | 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: 07aed6809cd266967bbbd980349319d523d1043612bdc24b15f16983c1810eec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97983c852999dcb2d69da71765d6b193a8dc337d1b528f486b32cc49be8d0078",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-05-22T12:23:24Z",
    "title_canon_sha256": "746be206f77f127c94f9bcfd59d3eec330b08608d23e71203a4aeee3e1a24b2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.11135",
    "kind": "arxiv",
    "version": 2
  }
}