Pith Number

pith:IOL6VX2H

pith:2016:IOL6VX2HK5CZ3OYBHZG7DYYHRE

not attested not anchored not stored refs pending

Rotational symmetry of self-expanders to the inverse mean curvature flow with cylindrical ends

Frederick Tsz-Ho Fong, Gregory Drugan, Hojoo Lee

arxiv:1608.02137 v1 · 2016-08-06 · 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{IOL6VX2HK5CZ3OYBHZG7DYYHRE}

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	2026-05-18T01:09:40.931854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4397eadf4757459dbb013e4df1e30789179fb6556e53796294be82f995e84128

Aliases

arxiv: 1608.02137 · arxiv_version: 1608.02137v1 · doi: 10.48550/arxiv.1608.02137 · pith_short_12: IOL6VX2HK5CZ · pith_short_16: IOL6VX2HK5CZ3OYB · pith_short_8: IOL6VX2H

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/IOL6VX2HK5CZ3OYBHZG7DYYHRE \
  | 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: 4397eadf4757459dbb013e4df1e30789179fb6556e53796294be82f995e84128

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d9120793de7e10190ef9614e2901731bd66b965c8a7484119ab59d3703dd741",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-08-06T18:21:44Z",
    "title_canon_sha256": "e31ebbdf07315070d24c7b6f66b0a1419cf67b61f2b10bca5a81743d76ee764a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02137",
    "kind": "arxiv",
    "version": 1
  }
}