Pith Number

pith:SBIZSMIY

pith:2013:SBIZSMIY67JQHO36XMI5NOG6VS

not attested not anchored not stored refs pending

GL(n) equivariant Minkowski valuations

Thomas Wannerer

arxiv:1308.2571 v1 · 2013-08-12 · 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{SBIZSMIY67JQHO36XMI5NOG6VS}

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	2026-05-18T03:16:07.046601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9051993118f7d303bb7ebb11d6b8deac9a2a850704d99f8f7bcc71e93e870399

Aliases

arxiv: 1308.2571 · arxiv_version: 1308.2571v1 · doi: 10.48550/arxiv.1308.2571 · pith_short_12: SBIZSMIY67JQ · pith_short_16: SBIZSMIY67JQHO36 · pith_short_8: SBIZSMIY

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/SBIZSMIY67JQHO36XMI5NOG6VS \
  | 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: 9051993118f7d303bb7ebb11d6b8deac9a2a850704d99f8f7bcc71e93e870399

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d16916e207e3be8a26d78c3c0a375ff15c55a47ea7150dd68b7c500970b882a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-08-12T14:08:42Z",
    "title_canon_sha256": "c9cf0b57b2ae1d933b8797cfbb3e557fc8c6582b83853c50b0d39d26a9034fcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2571",
    "kind": "arxiv",
    "version": 1
  }
}