Pith Number

pith:KXMMM7EZ

pith:2015:KXMMM7EZJF2SB7UI2POZZGGZ3V

not attested not anchored not stored refs pending

On Lagrangian tangent sweeps and Lagrangian outer billiards

D. Fuchs, S. Tabachnikov

arxiv:1502.03177 v2 · 2015-02-11 · 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{KXMMM7EZJF2SB7UI2POZZGGZ3V}

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	2026-05-18T01:25:15.915932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55d8c67c99497520fe88d3dd9c98d9dd6e62f0e5fe21b63ec2507426559c752d

Aliases

arxiv: 1502.03177 · arxiv_version: 1502.03177v2 · doi: 10.48550/arxiv.1502.03177 · pith_short_12: KXMMM7EZJF2S · pith_short_16: KXMMM7EZJF2SB7UI · pith_short_8: KXMMM7EZ

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/KXMMM7EZJF2SB7UI2POZZGGZ3V \
  | 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: 55d8c67c99497520fe88d3dd9c98d9dd6e62f0e5fe21b63ec2507426559c752d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7daf3ce4f460b724d37ed282e88f7993f1f1e1b1066eb622c1e64307dfafdfd4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-02-11T02:34:43Z",
    "title_canon_sha256": "d57029130546bfeb85daa8c6d771a6b78908647032509dd806cb73cd95e750ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03177",
    "kind": "arxiv",
    "version": 2
  }
}