Pith Number

pith:LEKH5B46

pith:2015:LEKH5B46IV77DBUX5IACR3Q3B5

not attested not anchored not stored refs pending

The Yamabe flow on incomplete manifolds

Yuanzhen Shao

arxiv:1506.07018 v3 · 2015-06-23 · 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{LEKH5B46IV77DBUX5IACR3Q3B5}

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	2026-05-17T23:43:09.738523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59147e879e457ff18697ea0028ee1b0f6e0a1d17767084b28c541bc460cc92af

Aliases

arxiv: 1506.07018 · arxiv_version: 1506.07018v3 · doi: 10.48550/arxiv.1506.07018 · pith_short_12: LEKH5B46IV77 · pith_short_16: LEKH5B46IV77DBUX · pith_short_8: LEKH5B46

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/LEKH5B46IV77DBUX5IACR3Q3B5 \
  | 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: 59147e879e457ff18697ea0028ee1b0f6e0a1d17767084b28c541bc460cc92af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c22971e4647d91b8373b197cfbac153a813bf1da77bea29c7d8a0c8fda09bff2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-23T14:12:36Z",
    "title_canon_sha256": "97c873fb23233f6344c0996a661871044e7350c30480aa7f0c5fa667032c8ecc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07018",
    "kind": "arxiv",
    "version": 3
  }
}