Pith Number

pith:SSACJPJ3

pith:2021:SSACJPJ3JCHDEK5LIRSKA4MRD7

not attested not anchored not stored refs pending

Combinatorial Calabi flows on surfaces with boundary

Xu Xu, Yanwen Luo

arxiv:2110.01142 v3 · 2021-10-04 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SSACJPJ3JCHDEK5LIRSKA4MRD7}

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	2026-07-05T04:47:24.157873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

948024bd3b488e322bab4464a071911ff6f7fb582acf5b4cf1f2644c787d1c71

Aliases

arxiv: 2110.01142 · arxiv_version: 2110.01142v3 · doi: 10.48550/arxiv.2110.01142 · pith_short_12: SSACJPJ3JCHD · pith_short_16: SSACJPJ3JCHDEK5L · pith_short_8: SSACJPJ3

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/SSACJPJ3JCHDEK5LIRSKA4MRD7 \
  | 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: 948024bd3b488e322bab4464a071911ff6f7fb582acf5b4cf1f2644c787d1c71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8143101a2e5fbb8f6ebf15b164a2f47918f4608fd90bf2d176a2b1b28894cad9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-10-04T01:27:50Z",
    "title_canon_sha256": "c5c74c612895b80ca8a8b971f41a4ca6aa1d46588dd0d8b2af5f2b1110381eed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.01142",
    "kind": "arxiv",
    "version": 3
  }
}