Pith Number

pith:N4OZFKOL

pith:2015:N4OZFKOLLD5DTJM7WVM3CO6SD5

not attested not anchored not stored refs pending

Compactness results for triholomorphic maps

Costante Bellettini, Gang Tian

arxiv:1507.06558 v2 · 2015-07-23 · math.AP · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N4OZFKOLLD5DTJM7WVM3CO6SD5}

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	2026-05-18T01:31:10.664076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f1d92a9cb58fa39a59fb559b13bd21f4d0f0fb4b6a20f8539c98f5b8ff9f730

Aliases

arxiv: 1507.06558 · arxiv_version: 1507.06558v2 · doi: 10.48550/arxiv.1507.06558 · pith_short_12: N4OZFKOLLD5D · pith_short_16: N4OZFKOLLD5DTJM7 · pith_short_8: N4OZFKOL

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/N4OZFKOLLD5DTJM7WVM3CO6SD5 \
  | 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: 6f1d92a9cb58fa39a59fb559b13bd21f4d0f0fb4b6a20f8539c98f5b8ff9f730

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d59c5b9a9f14ef1e117b227d2663a4aefbbe375a9c08d8f2de9c6b88dabd9b13",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-23T16:46:31Z",
    "title_canon_sha256": "ed6847b15b561c09ee358515596c7eeacccbcdcc477a766d28cd8f7bd8c69561"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06558",
    "kind": "arxiv",
    "version": 2
  }
}