Pith Number

pith:NZCQWPGE

pith:2017:NZCQWPGE465MZZP7KHH6KGAFNA

not attested not anchored not stored refs pending

Mean Value Theorems for Riemannian Manifolds via the Obstacle Problem

Brian Benson, Ivan Blank, Jeremy LeCrone

arxiv:1704.07518 v1 · 2017-04-25 · math.DG · 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{NZCQWPGE465MZZP7KHH6KGAFNA}

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	2026-05-18T00:45:37.814640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e450b3cc4e7bacce5ff51cfe51805682a8714ea5a2ad705a57d21022d1ca6cc

Aliases

arxiv: 1704.07518 · arxiv_version: 1704.07518v1 · doi: 10.48550/arxiv.1704.07518 · pith_short_12: NZCQWPGE465M · pith_short_16: NZCQWPGE465MZZP7 · pith_short_8: NZCQWPGE

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/NZCQWPGE465MZZP7KHH6KGAFNA \
  | 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: 6e450b3cc4e7bacce5ff51cfe51805682a8714ea5a2ad705a57d21022d1ca6cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6c9e18822ef46b65bcb2a6fb03dc5a1fdc8981ea0785ddae7f567aaf4245570",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-04-25T02:50:47Z",
    "title_canon_sha256": "4f57ea7b1bba8a5f23c2c0f9a1441e37d1d12879b617d40f467530fd5f52b310"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.07518",
    "kind": "arxiv",
    "version": 1
  }
}