Pith Number

pith:LFT3WGYY

pith:2015:LFT3WGYYFDFM4IGK4CRMCSCGPO

not attested not anchored not stored refs pending

Smooth local solutions to weingarten equations and $\sigma_k$-equations

Qing Han, Tiancong Chen

arxiv:1503.05950 v1 · 2015-03-19 · 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{LFT3WGYYFDFM4IGK4CRMCSCGPO}

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	2026-05-18T02:20:49.048658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5967bb1b1828cace20cae0a2c148467b8494340b51b3097d589d14e520d107a4

Aliases

arxiv: 1503.05950 · arxiv_version: 1503.05950v1 · doi: 10.48550/arxiv.1503.05950 · pith_short_12: LFT3WGYYFDFM · pith_short_16: LFT3WGYYFDFM4IGK · pith_short_8: LFT3WGYY

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/LFT3WGYYFDFM4IGK4CRMCSCGPO \
  | 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: 5967bb1b1828cace20cae0a2c148467b8494340b51b3097d589d14e520d107a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fb53257f7a15ff48e71df611fc307d894a0fffe75625bab4fa820db9f596ced",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-19T21:32:00Z",
    "title_canon_sha256": "fdc7af4ca555caf2d783a08bc6a39caf0c81fce5d5b71fbd2395a1463ec98e44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05950",
    "kind": "arxiv",
    "version": 1
  }
}