Pith Number

pith:3PUCDSIY

pith:2014:3PUCDSIYABOO3DV5CJAMBKOE3S

not attested not anchored not stored refs pending

Obstructions to Lagrangian concordance

Christopher R. Cornwell, Lenhard Ng, Steven Sivek

arxiv:1411.1364 v1 · 2014-11-05 · 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{3PUCDSIYABOO3DV5CJAMBKOE3S}

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	2026-05-18T01:15:47.138269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbe821c918005ced8ebd1240c0a9c4dc9aa62649aed0f235e25f797a4814f7ef

Aliases

arxiv: 1411.1364 · arxiv_version: 1411.1364v1 · doi: 10.48550/arxiv.1411.1364 · pith_short_12: 3PUCDSIYABOO · pith_short_16: 3PUCDSIYABOO3DV5 · pith_short_8: 3PUCDSIY

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/3PUCDSIYABOO3DV5CJAMBKOE3S \
  | 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: dbe821c918005ced8ebd1240c0a9c4dc9aa62649aed0f235e25f797a4814f7ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bca75ae802484835e0f46b3080727d4f5de4df83ad2bfcf80c7534d35066e29",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2014-11-05T19:20:29Z",
    "title_canon_sha256": "e7c94208e912ef11df6a03465423bd7d6db0535a0b4beae1d37afc09cefdcfa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1364",
    "kind": "arxiv",
    "version": 1
  }
}