Pith Number

pith:EK5DMOCK

pith:2010:EK5DMOCK2AETKRYL6M2X7QMEFS

not attested not anchored not stored refs pending

On the monotonicity of the expected volume of a random simplex

Luis Rademacher

arxiv:1008.3944 v1 · 2010-08-24 · math.PR · math.FA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EK5DMOCK2AETKRYL6M2X7QMEFS}

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	2026-05-18T03:02:44.364041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22ba36384ad00935470bf3357fc1842c80d642f3c69a0e746ec01e2caf8767ba

Aliases

arxiv: 1008.3944 · arxiv_version: 1008.3944v1 · doi: 10.48550/arxiv.1008.3944 · pith_short_12: EK5DMOCK2AET · pith_short_16: EK5DMOCK2AETKRYL · pith_short_8: EK5DMOCK

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/EK5DMOCK2AETKRYL6M2X7QMEFS \
  | 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: 22ba36384ad00935470bf3357fc1842c80d642f3c69a0e746ec01e2caf8767ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "642e40969d84421ee121b741a85f5ab78dd594427856ad5480b0c9e828ce6203",
    "cross_cats_sorted": [
      "math.FA",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-08-24T00:34:38Z",
    "title_canon_sha256": "4a67da1de7d51162e70688264a88feb0a7969a370c999b3b87123344855fcf65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3944",
    "kind": "arxiv",
    "version": 1
  }
}