Pith Number

pith:LBGRTC7T

pith:2013:LBGRTC7TZGHHB44A5HJ25KJ6NI

not attested not anchored not stored refs pending

Extensions of translation invariant valuations on polytopes

Daniel Hug, Wolfgang Weil, Wolfram Hinderer

arxiv:1303.4406 v2 · 2013-03-09 · 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{LBGRTC7TZGHHB44A5HJ25KJ6NI}

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	2026-05-18T02:43:52.457094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

584d198bf3c98e70f380e9d3aea93e6a0752bdae05644857eccfd88b36809240

Aliases

arxiv: 1303.4406 · arxiv_version: 1303.4406v2 · doi: 10.48550/arxiv.1303.4406 · pith_short_12: LBGRTC7TZGHH · pith_short_16: LBGRTC7TZGHHB44A · pith_short_8: LBGRTC7T

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/LBGRTC7TZGHHB44A5HJ25KJ6NI \
  | 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: 584d198bf3c98e70f380e9d3aea93e6a0752bdae05644857eccfd88b36809240

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "098679fd02fc969d0e4c74f3b4e458ac6981d61b605e37f1a2e8a8b3a0555a04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-03-09T11:09:30Z",
    "title_canon_sha256": "7e86559dac85fd8cc1d6a8c322ea2d2d7229275342f9f18c356489d83a49e0a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4406",
    "kind": "arxiv",
    "version": 2
  }
}