Pith Number

pith:TNBMQEPX

pith:2013:TNBMQEPXDMUL5SIT4US2QQNQXU

not attested not anchored not stored refs pending

Exact Lagrangians in $A_n$-surface singularities

WeiWei Wu

arxiv:1302.1598 v2 · 2013-02-06 · 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{TNBMQEPXDMUL5SIT4US2QQNQXU}

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	2026-05-18T03:24:53.828136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b42c811f71b28bec913e525a841b0bd0140815e2828976d45eb772900dda444

Aliases

arxiv: 1302.1598 · arxiv_version: 1302.1598v2 · doi: 10.48550/arxiv.1302.1598 · pith_short_12: TNBMQEPXDMUL · pith_short_16: TNBMQEPXDMUL5SIT · pith_short_8: TNBMQEPX

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/TNBMQEPXDMUL5SIT4US2QQNQXU \
  | 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: 9b42c811f71b28bec913e525a841b0bd0140815e2828976d45eb772900dda444

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf3dc67a2c5c459f33bbd0a4916c309da10e729c409c4096f00d09cd7b8421c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-02-06T22:20:24Z",
    "title_canon_sha256": "fb69ee1166801d5b6b9bb81bbd59f1dfc41fe76041a2b3a6a252f80cfa07ad1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1598",
    "kind": "arxiv",
    "version": 2
  }
}