Pith Number

pith:TWXVCFFX

pith:2020:TWXVCFFXEOYJ764KDHL7CEYDE7

not attested not anchored not stored refs pending

A proof of the convexity of the set of lamination parameters

Jean-Luc Akian

arxiv:2010.07707 v1 · 2020-10-15 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TWXVCFFXEOYJ764KDHL7CEYDE7}

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	2026-07-05T01:43:19.885787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9daf5114b723b09ffb8a19d7f1130327ff462cd504aa4bf4b77a75e4cc95829c

Aliases

arxiv: 2010.07707 · arxiv_version: 2010.07707v1 · doi: 10.48550/arxiv.2010.07707 · pith_short_12: TWXVCFFXEOYJ · pith_short_16: TWXVCFFXEOYJ764K · pith_short_8: TWXVCFFX

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/TWXVCFFXEOYJ764KDHL7CEYDE7 \
  | 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: 9daf5114b723b09ffb8a19d7f1130327ff462cd504aa4bf4b77a75e4cc95829c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf1e600086cdc36dd5b5fe6405d5f4f82d6298b4e04721cf3142c7d7bcfafdb7",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2020-10-15T12:37:50Z",
    "title_canon_sha256": "76fbb5935e3b1f28099fa3fc3de5fec893bf19a4ea86eee47f7b191e09d815e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.07707",
    "kind": "arxiv",
    "version": 1
  }
}