Pith Number

pith:Q3I2LNOF

pith:1997:Q3I2LNOFRG62CBIYDA3LOLH4JX

not attested not anchored not stored refs pending

The Santalo-regions of a convex body

Elisabeth Werner, Mathieu Meyer

arxiv:math/9707209 v1 · 1997-07-05 · 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{Q3I2LNOFRG62CBIYDA3LOLH4JX}

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	2026-05-18T01:05:35.052768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86d1a5b5c589bda105181836b72cfc4defdea7b3594183d9c0d72782ed1c5fa5

Aliases

arxiv: math/9707209 · arxiv_version: math/9707209v1 · doi: 10.48550/arxiv.math/9707209 · pith_short_12: Q3I2LNOFRG62 · pith_short_16: Q3I2LNOFRG62CBIY · pith_short_8: Q3I2LNOF

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/Q3I2LNOFRG62CBIYDA3LOLH4JX \
  | 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: 86d1a5b5c589bda105181836b72cfc4defdea7b3594183d9c0d72782ed1c5fa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9df20c0ddc8e68e006b2ba0190626a88020e7a47a666419e10e5aa78e4a4d253",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.MG",
    "submitted_at": "1997-07-05T00:00:00Z",
    "title_canon_sha256": "6088bbd82a0726d3c32d4c323403f39da1d3917e5bc07328d064a45e8eb86c98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9707209",
    "kind": "arxiv",
    "version": 1
  }
}