Pith Number

pith:UFFU56K2

pith:2018:UFFU56K2DLF4YPK4CJKTE5J7FQ

not attested not anchored not stored refs pending

Degree counting theorems for singular Liouville systems

Lei Zhang, Yi Gu

arxiv:1811.00190 v2 · 2018-11-01 · 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{UFFU56K2DLF4YPK4CJKTE5J7FQ}

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	2026-05-17T23:46:36.055220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a14b4ef95a1acbcc3d5c125532753f2c30a4a0e55289ba67fbf519512f0b122b

Aliases

arxiv: 1811.00190 · arxiv_version: 1811.00190v2 · doi: 10.48550/arxiv.1811.00190 · pith_short_12: UFFU56K2DLF4 · pith_short_16: UFFU56K2DLF4YPK4 · pith_short_8: UFFU56K2

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/UFFU56K2DLF4YPK4CJKTE5J7FQ \
  | 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: a14b4ef95a1acbcc3d5c125532753f2c30a4a0e55289ba67fbf519512f0b122b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfb968b211afa2d8d198681af275f9f0a83104848377aa04d24968b902db68ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-11-01T02:37:03Z",
    "title_canon_sha256": "bd5f75ef932dc7dfce7047dc1d47f9b9d5c7a359f4ba06b31f7c58b7562c9605"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.00190",
    "kind": "arxiv",
    "version": 2
  }
}