Pith Number

pith:ZI26XTJA

pith:2010:ZI26XTJAKTYRDHIE4A5OJHGZIL

not attested not anchored not stored refs pending

Curvature estimates for the level set of spatial quasiconcave solutions to a class of parabolic equations

Chuanqiang Chen, Shujun Shi

arxiv:1006.4787 v3 · 2010-06-24 · 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{ZI26XTJAKTYRDHIE4A5OJHGZIL}

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	2026-05-18T02:06:42.780672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca35ebcd2054f1119d04e03ae49cd942effe1950c86adcb05ef0d29725b01f1e

Aliases

arxiv: 1006.4787 · arxiv_version: 1006.4787v3 · doi: 10.48550/arxiv.1006.4787 · pith_short_12: ZI26XTJAKTYR · pith_short_16: ZI26XTJAKTYRDHIE · pith_short_8: ZI26XTJA

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/ZI26XTJAKTYRDHIE4A5OJHGZIL \
  | 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: ca35ebcd2054f1119d04e03ae49cd942effe1950c86adcb05ef0d29725b01f1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "579128621e87788e57538bc90cb382e35795a7d0b54e0acecc3f9a401768d256",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-06-24T13:21:59Z",
    "title_canon_sha256": "cdb5b42fc78db063595e6b59fc4562bd34af7da6755e7555d169939690b472b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4787",
    "kind": "arxiv",
    "version": 3
  }
}