Pith Number

pith:6JLS32A5

pith:2019:6JLS32A5TJYYGYHMVBSZCFUGWM

not attested not anchored not stored refs pending

Bubble Tree Convergence of Conformally Cross Product Preserving Maps

Da Rong Cheng, Jesse Madnick, Spiro Karigiannis

arxiv:1909.03512 v3 · 2019-09-08 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6JLS32A5TJYYGYHMVBSZCFUGWM}

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	2026-07-05T03:11:09.414164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2572de81d9a718360eca865911686b303ff59065a0fe5ed664f083781ebd308

Aliases

arxiv: 1909.03512 · arxiv_version: 1909.03512v3 · doi: 10.48550/arxiv.1909.03512 · pith_short_12: 6JLS32A5TJYY · pith_short_16: 6JLS32A5TJYYGYHM · pith_short_8: 6JLS32A5

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/6JLS32A5TJYYGYHMVBSZCFUGWM \
  | 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: f2572de81d9a718360eca865911686b303ff59065a0fe5ed664f083781ebd308

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "498d16c7198d9decbe7e58c82b4d2779ca1f0533c9796d6ea0c42f6a00b55544",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-09-08T17:15:48Z",
    "title_canon_sha256": "0827fd6ff1c7f407a85dc683f25f5a649fdc13f26bc180c78ef2ff452af57e25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.03512",
    "kind": "arxiv",
    "version": 3
  }
}