Pith Number

pith:UNNB6JIG

pith:2015:UNNB6JIGOCFBYNFLXPDTXBSKL3

not attested not anchored not stored refs pending

Bounded-hop percolation

Christian Hirsch

arxiv:1502.05379 v1 · 2015-02-18 · 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{UNNB6JIGOCFBYNFLXPDTXBSKL3}

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	2026-05-18T02:26:51.872779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a35a1f2506708a1c34abbbc73b864a5ec43e242eda14f6014a4f7172582b0913

Aliases

arxiv: 1502.05379 · arxiv_version: 1502.05379v1 · doi: 10.48550/arxiv.1502.05379 · pith_short_12: UNNB6JIGOCFB · pith_short_16: UNNB6JIGOCFBYNFL · pith_short_8: UNNB6JIG

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/UNNB6JIGOCFBYNFLXPDTXBSKL3 \
  | 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: a35a1f2506708a1c34abbbc73b864a5ec43e242eda14f6014a4f7172582b0913

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fcb90321fcc536e17e5f100c34f396e191a601d1de6e7d63af5d2770370c80f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-02-18T20:44:01Z",
    "title_canon_sha256": "24c78461482df3fb8a604022684d5712b85d6c20dc6c2f50529a6c8e09cac448"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05379",
    "kind": "arxiv",
    "version": 1
  }
}