Pith Number

pith:KZWUYS4P

pith:2012:KZWUYS4PFIJP3WHCLUGESTTCLD

not attested not anchored not stored refs pending

Displacing Lagrangian toric fibers by extended probes

Dusa McDuff, Matthew Strom Borman, Miguel Abreu

arxiv:1203.1074 v3 · 2012-03-05 · 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{KZWUYS4PFIJP3WHCLUGESTTCLD}

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	2026-05-18T02:58:43.577230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

566d4c4b8f2a12fdd8e25d0c494e6258ca8ea9e43bde341af0a2cb4b6ae8b568

Aliases

arxiv: 1203.1074 · arxiv_version: 1203.1074v3 · doi: 10.48550/arxiv.1203.1074 · pith_short_12: KZWUYS4PFIJP · pith_short_16: KZWUYS4PFIJP3WHC · pith_short_8: KZWUYS4P

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/KZWUYS4PFIJP3WHCLUGESTTCLD \
  | 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: 566d4c4b8f2a12fdd8e25d0c494e6258ca8ea9e43bde341af0a2cb4b6ae8b568

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1b7993a36abcf36ebdfce826d9e76b6de2e5a590c8e62f5c5e22481b3d5eeb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-03-05T23:37:36Z",
    "title_canon_sha256": "560c54f5022ea4e3c8339d7016a96edb5259f7c2ec5f2b891d0ccd1c5c30d253"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1074",
    "kind": "arxiv",
    "version": 3
  }
}