Pith Number

pith:I6HIKKDW

pith:2017:I6HIKKDWZBPCYWCKZYNSHHYHJX

not attested not anchored not stored refs pending

Counterexamples for percolation on unimodular random graphs

Omer Angel, Tom Hutchcroft

arxiv:1710.03003 v1 · 2017-10-09 · 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{I6HIKKDWZBPCYWCKZYNSHHYHJX}

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	2026-05-18T00:33:28.222677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

478e852876c85e2c584ace1b239f074de3d9f8b0ccbfd38778d4d788c188b47a

Aliases

arxiv: 1710.03003 · arxiv_version: 1710.03003v1 · doi: 10.48550/arxiv.1710.03003 · pith_short_12: I6HIKKDWZBPC · pith_short_16: I6HIKKDWZBPCYWCK · pith_short_8: I6HIKKDW

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/I6HIKKDWZBPCYWCKZYNSHHYHJX \
  | 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: 478e852876c85e2c584ace1b239f074de3d9f8b0ccbfd38778d4d788c188b47a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "760f5cec4b99bdb4604d20798567dfc8f86efc02c61c9188e133cb917c2d281a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-10-09T09:18:47Z",
    "title_canon_sha256": "7936a77f12ba0856b3a05772404cb28524375aa4f51fdba1de3a0cb04b9e3f6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03003",
    "kind": "arxiv",
    "version": 1
  }
}