Pith Number

pith:LDH5E5IK

pith:2011:LDH5E5IKJGFYDVTHXF3SHWBGF5

not attested not anchored not stored refs pending

On the internal distance in the interlacement set

Ji\v{r}\'i \v{C}ern\'y, Serguei Popov

arxiv:1111.3979 v2 · 2011-11-16 · 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{LDH5E5IKJGFYDVTHXF3SHWBGF5}

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	2026-05-18T02:21:29.257451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58cfd2750a498b81d667b97723d8262f5ef78c2dae2074f688c96583e2feddfc

Aliases

arxiv: 1111.3979 · arxiv_version: 1111.3979v2 · doi: 10.48550/arxiv.1111.3979 · pith_short_12: LDH5E5IKJGFY · pith_short_16: LDH5E5IKJGFYDVTH · pith_short_8: LDH5E5IK

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/LDH5E5IKJGFYDVTHXF3SHWBGF5 \
  | 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: 58cfd2750a498b81d667b97723d8262f5ef78c2dae2074f688c96583e2feddfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f564ef02bb70257cb9e2dcf02bbddc488acd30c09bc67c58a1a2e721a1dd8a13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-16T22:03:45Z",
    "title_canon_sha256": "adce73c87ef71372ce3a08ff4b8f9dbd38c140b5c9835de5a294f580ad9f2d87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3979",
    "kind": "arxiv",
    "version": 2
  }
}