Pith Number

pith:PX5AMTXC

pith:2016:PX5AMTXC2CRXM6SLTAEW2V2KLJ

not attested not anchored not stored refs pending

Contracting convex hypersurfaces by functions of the mean curvature

Shunzi Guo

arxiv:1610.08209 v1 · 2016-10-26 · 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{PX5AMTXC2CRXM6SLTAEW2V2KLJ}

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	2026-05-18T01:01:14.747886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dfa064ee2d0a3767a4b98096d574a5a58ab60b3ba6e827e521016846e3917ed

Aliases

arxiv: 1610.08209 · arxiv_version: 1610.08209v1 · doi: 10.48550/arxiv.1610.08209 · pith_short_12: PX5AMTXC2CRX · pith_short_16: PX5AMTXC2CRXM6SL · pith_short_8: PX5AMTXC

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/PX5AMTXC2CRXM6SLTAEW2V2KLJ \
  | 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: 7dfa064ee2d0a3767a4b98096d574a5a58ab60b3ba6e827e521016846e3917ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c535514d395bc280abde5feaf52d7a8da316bf9fd8b485e4f1afebce8196c68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-10-26T07:15:56Z",
    "title_canon_sha256": "3a41f1ca3a9d783c025e74ac1ee9c5688baf0f4dbed86149260caba9634b7019"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08209",
    "kind": "arxiv",
    "version": 1
  }
}