Pith Number

pith:42TJLQCX

pith:2019:42TJLQCXB7ESQOSL32XQNEJKMB

not attested not anchored not stored refs pending

Non-orientable Lagrangian surfaces in rational 4-manifolds

Bo Dai, Chung-I Ho, Tian-Jun Li

arxiv:1902.08901 v1 · 2019-02-24 · 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{42TJLQCXB7ESQOSL32XQNEJKMB}

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	2026-05-17T23:52:49.499012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6a695c0570fc9283a4bdeaf06912a605523d5ddaa21b48183fbf6f8e6924007

Aliases

arxiv: 1902.08901 · arxiv_version: 1902.08901v1 · doi: 10.48550/arxiv.1902.08901 · pith_short_12: 42TJLQCXB7ES · pith_short_16: 42TJLQCXB7ESQOSL · pith_short_8: 42TJLQCX

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/42TJLQCXB7ESQOSL32XQNEJKMB \
  | 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: e6a695c0570fc9283a4bdeaf06912a605523d5ddaa21b48183fbf6f8e6924007

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8061ce3887f8cefd0c2305c5de09e8ed1bcb95ea67520d3f593c5e3ce7ec0bb2",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2019-02-24T06:57:00Z",
    "title_canon_sha256": "6895a5f195093a38f089c382739aa5ea10b5236346812b7a05841c840cba19eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.08901",
    "kind": "arxiv",
    "version": 1
  }
}