Pith Number

pith:D277S2JP

pith:2014:D277S2JPB7CYBPXUL3ZWMJK4LF

not attested not anchored not stored refs pending

Orbits of rotor-router operation and stationary distribution of random walks on directed graphs

Trung Van Pham

arxiv:1403.5875 v8 · 2014-03-24 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D277S2JPB7CYBPXUL3ZWMJK4LF}

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	2026-05-18T01:36:38.921200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ebff9692f0fc580bef45ef366255c596610bc43242f725be3ac26e4c656803a

Aliases

arxiv: 1403.5875 · arxiv_version: 1403.5875v8 · doi: 10.48550/arxiv.1403.5875 · pith_short_12: D277S2JPB7CY · pith_short_16: D277S2JPB7CYBPXU · pith_short_8: D277S2JP

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/D277S2JPB7CYBPXUL3ZWMJK4LF \
  | 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: 1ebff9692f0fc580bef45ef366255c596610bc43242f725be3ac26e4c656803a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0b808e83dc0a91894ab724bcaf9ff30d9dd2aa38164509e869ec7ccc9db7a9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-03-24T08:13:15Z",
    "title_canon_sha256": "8d61f58f1868f91991fecd2c8853f87e66254aa9cad8f59aaf1c0cb69f715420"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.5875",
    "kind": "arxiv",
    "version": 8
  }
}