Pith Number

pith:CMLPVZBG

pith:2013:CMLPVZBGYSDYAA6TEOBSRY56ZU

not attested not anchored not stored refs pending

Conditions for the vanishing of the genus-2 G-function

Xiaobo Liu, Xin Wang

arxiv:1310.2101 v2 · 2013-10-08 · math.DG · math-ph · math.AG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CMLPVZBGYSDYAA6TEOBSRY56ZU}

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	2026-05-18T02:58:56.725413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1316fae426c4878003d3238328e3becd11c66f9cbc9d1b1bf6e90a5acc2384d2

Aliases

arxiv: 1310.2101 · arxiv_version: 1310.2101v2 · doi: 10.48550/arxiv.1310.2101 · pith_short_12: CMLPVZBGYSDY · pith_short_16: CMLPVZBGYSDYAA6T · pith_short_8: CMLPVZBG

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/CMLPVZBGYSDYAA6TEOBSRY56ZU \
  | 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: 1316fae426c4878003d3238328e3becd11c66f9cbc9d1b1bf6e90a5acc2384d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47dcbfd2f5916dca1ef39e9619d7f1d7415f6bec95a8fea34bdcfbb8310f7e9d",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-10-08T11:24:47Z",
    "title_canon_sha256": "d79ae83070dbc6a3e32a8de13bba6e05a89584d5214bb7324247cadf07f27184"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2101",
    "kind": "arxiv",
    "version": 2
  }
}