Pith Number

pith:EBHHQNB5

pith:2012:EBHHQNB5VZP5U4ADJUHRIWPUMX

not attested not anchored not stored refs pending

Shortest-weight paths in random regular graphs

Hamed Amini, Yuval Peres

arxiv:1210.2657 v1 · 2012-10-09 · math.PR · 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{EBHHQNB5VZP5U4ADJUHRIWPUMX}

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	2026-05-18T03:43:41.021071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

204e78343dae5fda70034d0f1459f465c9f73121c181cbbc0aef719b265e1683

Aliases

arxiv: 1210.2657 · arxiv_version: 1210.2657v1 · doi: 10.48550/arxiv.1210.2657 · pith_short_12: EBHHQNB5VZP5 · pith_short_16: EBHHQNB5VZP5U4AD · pith_short_8: EBHHQNB5

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/EBHHQNB5VZP5U4ADJUHRIWPUMX \
  | 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: 204e78343dae5fda70034d0f1459f465c9f73121c181cbbc0aef719b265e1683

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8308f3820fcb3dfd9a7f5519137f2a52092f91d82a666a50af0ee6bfa9004f3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-09T16:26:25Z",
    "title_canon_sha256": "4501ea2fa989f39f9f0ab5f6069ae0337c343b03f7497be2da711a7c386916fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2657",
    "kind": "arxiv",
    "version": 1
  }
}