Pith Number

pith:O6JMJRFK

pith:2016:O6JMJRFKZJ54I2IWPZN35AWLBS

not attested not anchored not stored refs pending

On the Local Birkhoff Conjecture for Convex Billiards

Alfonso Sorrentino, Vadim Kaloshin

arxiv:1612.09194 v5 · 2016-12-29 · 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{O6JMJRFKZJ54I2IWPZN35AWLBS}

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	2026-05-18T00:20:32.405088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7792c4c4aaca7bc469167e5bbe82cb0c8eebae1e52248595d1bc5ff9670e8f5c

Aliases

arxiv: 1612.09194 · arxiv_version: 1612.09194v5 · doi: 10.48550/arxiv.1612.09194 · pith_short_12: O6JMJRFKZJ54 · pith_short_16: O6JMJRFKZJ54I2IW · pith_short_8: O6JMJRFK

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/O6JMJRFKZJ54I2IWPZN35AWLBS \
  | 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: 7792c4c4aaca7bc469167e5bbe82cb0c8eebae1e52248595d1bc5ff9670e8f5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9aa6118e2a7d7ab6a95c0dff7a3a181c14c6f06252b75af921126bd4344484a7",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-12-29T16:32:16Z",
    "title_canon_sha256": "5320929f316d5d3f6ee95f400c536c12ad4c96c07db4a75250a26c19e7ef4de8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09194",
    "kind": "arxiv",
    "version": 5
  }
}