Pith Number

pith:I6IP3HV4

pith:2016:I6IP3HV4UENT3JHU6IFBBY55K7

not attested not anchored not stored refs pending

Monotonicity of the Sample Range of 3-D Data: Moments of Volumes of Random Tetrahedra

Benjamin Reichenwallner, Matthias Reitzner, Stefan Kunis

arxiv:1612.01893 v1 · 2016-12-06 · 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{I6IP3HV4UENT3JHU6IFBBY55K7}

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	2026-05-18T00:55:47.428097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4790fd9ebca11b3da4f4f20a10e3bd57ea4b2633d3c18490c1d49c24db092f3f

Aliases

arxiv: 1612.01893 · arxiv_version: 1612.01893v1 · doi: 10.48550/arxiv.1612.01893 · pith_short_12: I6IP3HV4UENT · pith_short_16: I6IP3HV4UENT3JHU · pith_short_8: I6IP3HV4

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/I6IP3HV4UENT3JHU6IFBBY55K7 \
  | 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: 4790fd9ebca11b3da4f4f20a10e3bd57ea4b2633d3c18490c1d49c24db092f3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3575590daf88c60dfd5667666330b243f1801882f384c8f1f81ff10af663a3f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-06T16:28:15Z",
    "title_canon_sha256": "96d4a910a08f43c713ba4b3aa40302a6f44adac7e069876924b94b645de312f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01893",
    "kind": "arxiv",
    "version": 1
  }
}