Pith Number

pith:6MZ77L3D

pith:2015:6MZ77L3DJ2XGLQGKWV75GY5ZNB

not attested not anchored not stored refs pending

Symplectic $G$-capacities and integrable systems

Alessio Figalli, \'Alvaro Pelayo, Joseph Palmer

arxiv:1511.04499 v1 · 2015-11-14 · math.SG · math.DG · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6MZ77L3DJ2XGLQGKWV75GY5ZNB}

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	2026-05-18T01:26:52.507795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f333ffaf634eae65c0cab57fd363b9684d87c04a637103b19c0a2f50df197703

Aliases

arxiv: 1511.04499 · arxiv_version: 1511.04499v1 · doi: 10.48550/arxiv.1511.04499 · pith_short_12: 6MZ77L3DJ2XG · pith_short_16: 6MZ77L3DJ2XGLQGK · pith_short_8: 6MZ77L3D

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/6MZ77L3DJ2XGLQGKWV75GY5ZNB \
  | 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: f333ffaf634eae65c0cab57fd363b9684d87c04a637103b19c0a2f50df197703

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0eeabfaa8d35dfd39fc61fbcfb49a58e114a699fc9af50472af94d5b0798846",
    "cross_cats_sorted": [
      "math.DG",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-11-14T03:52:55Z",
    "title_canon_sha256": "bdbab39471bec83c1e8237a6798516341ee84608c8b4b790f93486071d684ade"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04499",
    "kind": "arxiv",
    "version": 1
  }
}