Pith Number

pith:4BPFCT5L

pith:2020:4BPFCT5L2IN7BPCRLISZXSARSC

not attested not anchored not stored refs pending

Continuity of the Weil-Petersson potential

Jacob Sturm, Jian Song, Xiaowei Wang

arxiv:2008.11215 v1 · 2020-08-25 · math.DG · math.AG · 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{4BPFCT5L2IN7BPCRLISZXSARSC}

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.

Cited by

1 paper in Pith

Effective positivity of Hodge bundles and applications

Receipt and verification

First computed	2026-07-05T01:30:42.895469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e05e514fabd21bf0bc515a259bc81190a0194e4fad25e477f250c4ed815ccd77

Aliases

arxiv: 2008.11215 · arxiv_version: 2008.11215v1 · doi: 10.48550/arxiv.2008.11215 · pith_short_12: 4BPFCT5L2IN7 · pith_short_16: 4BPFCT5L2IN7BPCR · pith_short_8: 4BPFCT5L

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/4BPFCT5L2IN7BPCRLISZXSARSC \
  | 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: e05e514fabd21bf0bc515a259bc81190a0194e4fad25e477f250c4ed815ccd77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e1b586d628947c1a0c045add06b30b5e5ee7298d96e551205925704eb43d3ff",
    "cross_cats_sorted": [
      "math.AG",
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2020-08-25T18:00:26Z",
    "title_canon_sha256": "f05b2b722e893d58da6977a25aa6f11765cb7f4a73194775652d97f55a1023e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.11215",
    "kind": "arxiv",
    "version": 1
  }
}