Pith Number

pith:4NC3GCAJ

pith:2018:4NC3GCAJJMO2IG67U6II7ABGO6

not attested not anchored not stored refs pending

Exhaustive Gromov compactness for pseudoholomorphic curves

Helmut Hofer, Joel W. Fish

arxiv:1811.09321 v1 · 2018-11-22 · 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{4NC3GCAJJMO2IG67U6II7ABGO6}

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	2026-05-18T00:00:03.701197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e345b308094b1da41bdfa7908f80267785c20c7a6f46516adf3b4727f68c22da

Aliases

arxiv: 1811.09321 · arxiv_version: 1811.09321v1 · doi: 10.48550/arxiv.1811.09321 · pith_short_12: 4NC3GCAJJMO2 · pith_short_16: 4NC3GCAJJMO2IG67 · pith_short_8: 4NC3GCAJ

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/4NC3GCAJJMO2IG67U6II7ABGO6 \
  | 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: e345b308094b1da41bdfa7908f80267785c20c7a6f46516adf3b4727f68c22da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da03b29a8723e27cee49558c5c8f647bda636c01400b44143dc41b21c83dd9b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2018-11-22T23:05:00Z",
    "title_canon_sha256": "7872738a57ef20e601d8ab7030fa627aaaf703a13db95c3623104b132aac9e42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.09321",
    "kind": "arxiv",
    "version": 1
  }
}