Pith Number

pith:V7DUF4PJ

pith:2016:V7DUF4PJLLEOZE5WBJXHAEX46N

not attested not anchored not stored refs pending

Localization results for Minkowski contents

Steffen Winter

arxiv:1610.03117 v1 · 2016-10-10 · 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{V7DUF4PJLLEOZE5WBJXHAEX46N}

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	2026-05-17T23:56:39.131264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afc742f1e95ac8ec93b60a6e7012fcf355f1bb2d8b1b3cf21a728a2fae743be0

Aliases

arxiv: 1610.03117 · arxiv_version: 1610.03117v1 · doi: 10.48550/arxiv.1610.03117 · pith_short_12: V7DUF4PJLLEO · pith_short_16: V7DUF4PJLLEOZE5W · pith_short_8: V7DUF4PJ

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/V7DUF4PJLLEOZE5WBJXHAEX46N \
  | 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: afc742f1e95ac8ec93b60a6e7012fcf355f1bb2d8b1b3cf21a728a2fae743be0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8ddf7b644fa6bb721c0558d62b2374d2b92928db2c27ce1568110c92fe08dc2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-10-10T22:32:00Z",
    "title_canon_sha256": "3d1621cfbad21f0d5072f433492681cbb37625defc8a118442d20ff44021c955"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03117",
    "kind": "arxiv",
    "version": 1
  }
}