Pith Number

pith:GQD5CHW2

pith:2010:GQD5CHW2CLRZBUWFF23LY2RBF3

not attested not anchored not stored refs pending

Trickle-down processes and their boundaries

Anton Wakolbinger, Rudolf Gruebel, Steven N. Evans

arxiv:1010.0453 v2 · 2010-10-04 · 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{GQD5CHW2CLRZBUWFF23LY2RBF3}

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	2026-05-18T02:23:47.540081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3407d11eda12e390d2c52eb6bc6a212ef5541bd8d2d607b02d70691117c25b4f

Aliases

arxiv: 1010.0453 · arxiv_version: 1010.0453v2 · doi: 10.48550/arxiv.1010.0453 · pith_short_12: GQD5CHW2CLRZ · pith_short_16: GQD5CHW2CLRZBUWF · pith_short_8: GQD5CHW2

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/GQD5CHW2CLRZBUWFF23LY2RBF3 \
  | 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: 3407d11eda12e390d2c52eb6bc6a212ef5541bd8d2d607b02d70691117c25b4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4b75c6ef5470d871c896da62a01436e9a70535eb3403d20749db5f5583f6a82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-10-04T00:06:46Z",
    "title_canon_sha256": "54f861ae0a1370e6b82cc6a273a94bc591f574f1bc15edf5bb495d647534541f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0453",
    "kind": "arxiv",
    "version": 2
  }
}