Pith Number

pith:DGQ35GXM

pith:2015:DGQ35GXM2RXUZO4IIJFOQ225AL

not attested not anchored not stored refs pending

Highest Trees of Random Mappings

Mikhail V. Berlinkov

arxiv:1504.04532 v7 · 2015-04-17 · math.PR · cs.OH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DGQ35GXM2RXUZO4IIJFOQ225AL}

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	2026-05-18T01:13:09.749096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19a1be9aecd46f4cbb88424ae86b5d02efe9361cdced937c437e9a5ca2fb57c2

Aliases

arxiv: 1504.04532 · arxiv_version: 1504.04532v7 · doi: 10.48550/arxiv.1504.04532 · pith_short_12: DGQ35GXM2RXU · pith_short_16: DGQ35GXM2RXUZO4I · pith_short_8: DGQ35GXM

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/DGQ35GXM2RXUZO4IIJFOQ225AL \
  | 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: 19a1be9aecd46f4cbb88424ae86b5d02efe9361cdced937c437e9a5ca2fb57c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "683d297b346ec127488322ed65d30b8deb192d7defecd6c16f22a96954e4cbf8",
    "cross_cats_sorted": [
      "cs.OH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-17T15:11:15Z",
    "title_canon_sha256": "1f6655d734fb44e83fb669eeb18bfe9c7e009d4c0bc6b48619ef227282563d6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04532",
    "kind": "arxiv",
    "version": 7
  }
}