Pith Number

pith:GKUODJQU

pith:2019:GKUODJQUNNH6HDYY2VKZDBFDJC

not attested not anchored not stored refs pending

Virasoro constraints for moduli of weighted pointed stable curves

You-Cheng Chou, Yuan-Pin Lee

arxiv:1908.09027 v2 · 2019-08-23 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GKUODJQUNNH6HDYY2VKZDBFDJC}

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	2026-07-05T01:29:26.869741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32a8e1a6146b4fe38f18d5559184a348a76eac8b0cbfb8e41c54103099c629d6

Aliases

arxiv: 1908.09027 · arxiv_version: 1908.09027v2 · doi: 10.48550/arxiv.1908.09027 · pith_short_12: GKUODJQUNNH6 · pith_short_16: GKUODJQUNNH6HDYY · pith_short_8: GKUODJQU

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/GKUODJQUNNH6HDYY2VKZDBFDJC \
  | 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: 32a8e1a6146b4fe38f18d5559184a348a76eac8b0cbfb8e41c54103099c629d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bf1c00798d6dac61f0385e45f3321b258b900871fb092f2330bd08ed8813379",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-08-23T20:22:52Z",
    "title_canon_sha256": "19b74e980fd3e0638fad06f804bc84fbebb76e135b33212da5cdcb5110083667"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09027",
    "kind": "arxiv",
    "version": 2
  }
}