Pith Number

pith:NI5HRDUQ

pith:2017:NI5HRDUQLGYHFW2TJZGM5LODJW

not attested not anchored not stored refs pending

Some relations between the spectra of simple and non-backtracking random walks

Nalini Anantharaman (IRMA)

arxiv:1703.03852 v1 · 2017-03-09 · 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{NI5HRDUQLGYHFW2TJZGM5LODJW}

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.

Cited by

1 paper in Pith

On discrete loop signatures and Markov loops topology

Receipt and verification

First computed	2026-05-18T00:48:52.946349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a3a788e9059b072db534e4cceadc34d95c813a0824328c4fc33fa8bd440e490

Aliases

arxiv: 1703.03852 · arxiv_version: 1703.03852v1 · doi: 10.48550/arxiv.1703.03852 · pith_short_12: NI5HRDUQLGYH · pith_short_16: NI5HRDUQLGYHFW2T · pith_short_8: NI5HRDUQ

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/NI5HRDUQLGYHFW2TJZGM5LODJW \
  | 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: 6a3a788e9059b072db534e4cceadc34d95c813a0824328c4fc33fa8bd440e490

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45a8b6d8bda7edb501f1f51691b08006446e07c8724f88558019d53ab5fe86b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-03-09T09:49:54Z",
    "title_canon_sha256": "5d2a594e2768eaca386b68d06e59fa8f9fe356bd7ff6c7384e78cff435c34554"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03852",
    "kind": "arxiv",
    "version": 1
  }
}