Pith Number

pith:GAPA4F3P

pith:2017:GAPA4F3P4SIRLA4NNOQH5LM7FK

not attested not anchored not stored refs pending

Spectral properties and rigidity for self-expanding solutions of the mean curvature flows

Detang Zhou, Xu Cheng

arxiv:1709.04086 v1 · 2017-09-12 · 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{GAPA4F3P4SIRLA4NNOQH5LM7FK}

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	2026-05-18T00:35:15.503146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

301e0e176fe49115838d6ba07ead9f2a87b11f80f2750e5bb14bfcfe0edb6a43

Aliases

arxiv: 1709.04086 · arxiv_version: 1709.04086v1 · doi: 10.48550/arxiv.1709.04086 · pith_short_12: GAPA4F3P4SIR · pith_short_16: GAPA4F3P4SIRLA4N · pith_short_8: GAPA4F3P

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/GAPA4F3P4SIRLA4NNOQH5LM7FK \
  | 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: 301e0e176fe49115838d6ba07ead9f2a87b11f80f2750e5bb14bfcfe0edb6a43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46472eb0c2139dcf944397796af1cf1dee70aaa7cdd33a6bbdc890349ace1527",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-09-12T23:39:16Z",
    "title_canon_sha256": "72127561956b606a816485c48240d4fbaf512efe2cff8a295ed2fe3f131f2aab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.04086",
    "kind": "arxiv",
    "version": 1
  }
}