Pith Number

pith:JDSX2M42

pith:2018:JDSX2M42JMPB3CWCSSNDMOEFTW

not attested not anchored not stored refs pending

On Spectral Radius of Biased Random Walks on Infinite Graphs

He Song, Kainan Xiang, Longmin Wang, Vladas Sidoravicius, Zhan Shi

arxiv:1805.01611 v1 · 2018-05-04 · 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{JDSX2M42JMPB3CWCSSNDMOEFTW}

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	2026-05-18T00:16:47.302242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48e57d339a4b1e1d8ac2949a3638859d82184702c7316ce3cb4b66562561ec86

Aliases

arxiv: 1805.01611 · arxiv_version: 1805.01611v1 · doi: 10.48550/arxiv.1805.01611 · pith_short_12: JDSX2M42JMPB · pith_short_16: JDSX2M42JMPB3CWC · pith_short_8: JDSX2M42

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/JDSX2M42JMPB3CWCSSNDMOEFTW \
  | 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: 48e57d339a4b1e1d8ac2949a3638859d82184702c7316ce3cb4b66562561ec86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00ddbf48ec563c9ab2938aa019edd4355f63789277f0628eaa08a6bb7190873e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-05-04T05:23:46Z",
    "title_canon_sha256": "031a64e39bda88e75d197c79f603c8c346781a7380bc7cea5dd5e7bb7492adde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.01611",
    "kind": "arxiv",
    "version": 1
  }
}