Pith Number

pith:EK5BAF4P

pith:2015:EK5BAF4PPC5JEQ4GAMLAR4G2MB

not attested not anchored not stored refs pending

Symplectic embeddings and the lagrangian bidisk

Vinicius Gripp Barros Ramos

arxiv:1509.05755 v2 · 2015-09-18 · 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{EK5BAF4PPC5JEQ4GAMLAR4G2MB}

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	2026-05-18T00:32:44.861567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22ba10178f78ba924386031608f0da605a8e423ee944e38196e0828b0e46b4d0

Aliases

arxiv: 1509.05755 · arxiv_version: 1509.05755v2 · doi: 10.48550/arxiv.1509.05755 · pith_short_12: EK5BAF4PPC5J · pith_short_16: EK5BAF4PPC5JEQ4G · pith_short_8: EK5BAF4P

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/EK5BAF4PPC5JEQ4GAMLAR4G2MB \
  | 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: 22ba10178f78ba924386031608f0da605a8e423ee944e38196e0828b0e46b4d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4711c76856bbd511da2cb5ce36c1547e42bb081b16c85eddb8cf2f5378efbf3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-09-18T19:41:55Z",
    "title_canon_sha256": "f348b443218e30a564e1abd577a5a81385c451f8c882266f77a0fde554bfa3db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05755",
    "kind": "arxiv",
    "version": 2
  }
}