Pith Number

pith:TMPP375C

pith:2012:TMPP375CZRXDDWZCK3M5GPBLA6

not attested not anchored not stored refs pending

On conjugacy of convex billiards

Alfonso Sorrentino, Vadim Kaloshin

arxiv:1203.1274 v1 · 2012-03-06 · math.DS · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TMPP375CZRXDDWZCK3M5GPBLA6}

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	2026-05-18T04:00:39.895792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b1efdffa2cc6e31db2256d9d33c2b07a542b8e6e4c89ac112c32681c5ffda12

Aliases

arxiv: 1203.1274 · arxiv_version: 1203.1274v1 · doi: 10.48550/arxiv.1203.1274 · pith_short_12: TMPP375CZRXD · pith_short_16: TMPP375CZRXDDWZC · pith_short_8: TMPP375C

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/TMPP375CZRXDDWZCK3M5GPBLA6 \
  | 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: 9b1efdffa2cc6e31db2256d9d33c2b07a542b8e6e4c89ac112c32681c5ffda12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccc0b4a0843c77fb9ac6180cc86cef4668dd0718d59fff4288894496c68c13e5",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-03-06T18:33:52Z",
    "title_canon_sha256": "516b343a9d1a60668921dd3b7f9716ba0c5bc749acae886730c55ac30c766dc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1274",
    "kind": "arxiv",
    "version": 1
  }
}