Pith Number

pith:R7FXQQSX

pith:2024:R7FXQQSX4VEUEK47L3VSUWATXM

not attested not anchored not stored refs pending

Holomorphic Curves in Moduli Spaces Are Quasi-Isometrically Immersed

Yibo Zhang

arxiv:2401.09327 v2 · 2024-01-17 · math.GT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R7FXQQSX4VEUEK47L3VSUWATXM}

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	2026-07-05T12:10:52.290175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fcb784257e549422b9f5eeb2a5813bb27b63beee0a8bd06e2f7030e5aff7535

Aliases

arxiv: 2401.09327 · arxiv_version: 2401.09327v2 · doi: 10.48550/arxiv.2401.09327 · pith_short_12: R7FXQQSX4VEU · pith_short_16: R7FXQQSX4VEUEK47 · pith_short_8: R7FXQQSX

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/R7FXQQSX4VEUEK47L3VSUWATXM \
  | 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: 8fcb784257e549422b9f5eeb2a5813bb27b63beee0a8bd06e2f7030e5aff7535

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72d654d8f0ebffa1d865d2d654d731e400197496795191b2ad5de8b82d7dfbe1",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-01-17T16:50:06Z",
    "title_canon_sha256": "29076d56a26bcb7623a6cfdda08ddce49f7e5c6ebd6102854cdabd79c9d8ecf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.09327",
    "kind": "arxiv",
    "version": 2
  }
}