Pith Number

pith:BGPIZIMT

pith:2011:BGPIZIMTGTQBCZP4B5T4P3L4YG

not attested not anchored not stored refs pending

Exact Lagrangians in plumbings

Ivan Smith, Mohammed Abouzaid

arxiv:1107.0129 v3 · 2011-07-01 · 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{BGPIZIMTGTQBCZP4B5T4P3L4YG}

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	2026-05-18T03:59:13.875391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

099e8ca19334e01165fc0f67c7ed7cc1924322ea4d4fbc18695c73b9489be55d

Aliases

arxiv: 1107.0129 · arxiv_version: 1107.0129v3 · doi: 10.48550/arxiv.1107.0129 · pith_short_12: BGPIZIMTGTQB · pith_short_16: BGPIZIMTGTQBCZP4 · pith_short_8: BGPIZIMT

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/BGPIZIMTGTQBCZP4B5T4P3L4YG \
  | 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: 099e8ca19334e01165fc0f67c7ed7cc1924322ea4d4fbc18695c73b9489be55d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce8fbc0d112811c68c113654d6cf3082928b4a5a322b6f4c8ce5747d7de53e3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-07-01T07:47:16Z",
    "title_canon_sha256": "53b40223e760bae386ea5e4ba20dfc45babf900fdffc0ae9553c0e241a1bab97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0129",
    "kind": "arxiv",
    "version": 3
  }
}