Pith Number

pith:GUL75EPT

pith:2010:GUL75EPTR6D7FJKVVGDRLYRUTM

not attested not anchored not stored refs pending

Local minimality of the volume-product at the simplex

Jaegil Kim, Shlomo Reisner

arxiv:1001.0217 v2 · 2010-01-01 · math.MG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GUL75EPTR6D7FJKVVGDRLYRUTM}

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	2026-05-18T03:02:44.478879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3517fe91f38f87f2a555a98715e2349b3aa2511c2f713b02a3d3559896c3a2e0

Aliases

arxiv: 1001.0217 · arxiv_version: 1001.0217v2 · doi: 10.48550/arxiv.1001.0217 · pith_short_12: GUL75EPTR6D7 · pith_short_16: GUL75EPTR6D7FJKV · pith_short_8: GUL75EPT

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/GUL75EPTR6D7FJKVVGDRLYRUTM \
  | 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: 3517fe91f38f87f2a555a98715e2349b3aa2511c2f713b02a3d3559896c3a2e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64521bf78fed43d8ae62ec2d16d04a88a7d2dc7026ad44564658d6a90d96be42",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-01-01T08:32:55Z",
    "title_canon_sha256": "88d428fba760a4d87b071ab0d0940531906494564aed47ca889072cfb3e397cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0217",
    "kind": "arxiv",
    "version": 2
  }
}