Pith Number

pith:4BBOOO54

pith:2013:4BBOOO54DKT4BS52DMSEJ6ZKK6

not attested not anchored not stored refs pending

Topologically Distinct Lagrangian and Symplectic Fillings

Chang Cao, Joshua M. Sabloff, Kyle Hayden, Nathaniel Gallup

arxiv:1307.7998 v1 · 2013-07-30 · math.SG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4BBOOO54DKT4BS52DMSEJ6ZKK6}

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	2026-05-18T03:17:12.674427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e042e73bbc1aa7c0cbba1b2444fb2a57b6dd7cff889cab3525143aff62d1af1d

Aliases

arxiv: 1307.7998 · arxiv_version: 1307.7998v1 · doi: 10.48550/arxiv.1307.7998 · pith_short_12: 4BBOOO54DKT4 · pith_short_16: 4BBOOO54DKT4BS52 · pith_short_8: 4BBOOO54

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/4BBOOO54DKT4BS52DMSEJ6ZKK6 \
  | 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: e042e73bbc1aa7c0cbba1b2444fb2a57b6dd7cff889cab3525143aff62d1af1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99c96c6aa233cdf6c22ee4126502b6eebd2613647c8120e4b13f80e6d7e39e82",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-07-30T14:32:17Z",
    "title_canon_sha256": "76b8db40fa9e5c8923b05d8ff6519422dba35d56ac149ea71fa5a92b98e42196"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7998",
    "kind": "arxiv",
    "version": 1
  }
}