Pith Number

pith:N7XJBIKC

pith:2015:N7XJBIKCFRBTTA56IWYKBCLBVZ

not attested not anchored not stored refs pending

Blaschke's rolling ball theorem and the Trudinger-Wang monotone bending

Aram L. Karakhanyan

arxiv:1512.08161 v1 · 2015-12-27 · 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{N7XJBIKCFRBTTA56IWYKBCLBVZ}

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	2026-05-18T01:23:43.064981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fee90a1422c433983be45b0a08961ae73eb1e5d643c0f077b7056a812819480

Aliases

arxiv: 1512.08161 · arxiv_version: 1512.08161v1 · doi: 10.48550/arxiv.1512.08161 · pith_short_12: N7XJBIKCFRBT · pith_short_16: N7XJBIKCFRBTTA56 · pith_short_8: N7XJBIKC

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/N7XJBIKCFRBTTA56IWYKBCLBVZ \
  | 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: 6fee90a1422c433983be45b0a08961ae73eb1e5d643c0f077b7056a812819480

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b515ad4ea0227b7d4f6ccc203e0067dc175e9e04b6b569e483718dc2ee9b3903",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-27T01:23:32Z",
    "title_canon_sha256": "7ff10f0450af306bc84bdfbb2e48c1026d3ab521820774569397065c6ca4c3d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08161",
    "kind": "arxiv",
    "version": 1
  }
}