Pith Number

pith:YVFP6U4I

pith:2015:YVFP6U4INOUWX2R4FUDRRUZGTP

not attested not anchored not stored refs pending

Hamilton-Souplet-Zhang's gradient estimates for two types of nonlinear parabolic equations under the Ricci flow

Bingqing Ma, Guangyue Huang

arxiv:1508.07554 v3 · 2015-08-30 · 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{YVFP6U4INOUWX2R4FUDRRUZGTP}

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	2026-05-18T01:22:57.576692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c54aff53886ba96bea3c2d0718d3269bf0b577b56b8a4cd740d70586f83cbd89

Aliases

arxiv: 1508.07554 · arxiv_version: 1508.07554v3 · doi: 10.48550/arxiv.1508.07554 · pith_short_12: YVFP6U4INOUW · pith_short_16: YVFP6U4INOUWX2R4 · pith_short_8: YVFP6U4I

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/YVFP6U4INOUWX2R4FUDRRUZGTP \
  | 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: c54aff53886ba96bea3c2d0718d3269bf0b577b56b8a4cd740d70586f83cbd89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8768afedde8fb4cdcf2ff761e5bbd32ac1807be2ad0ae4114351d23ff53c0996",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-08-30T11:19:01Z",
    "title_canon_sha256": "e1b2a16bf788a2b6e132c2f2eb2d1a0bdcf65259421c0af0468e2342282025d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07554",
    "kind": "arxiv",
    "version": 3
  }
}