Pith Number

pith:OC5XHPKD

pith:2017:OC5XHPKDIYGSXGSVGE7QG2KQ3F

not attested not anchored not stored refs pending

Brakke's inequality for the thresholding scheme

Felix Otto, Tim Laux

arxiv:1708.03071 v2 · 2017-08-10 · 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{OC5XHPKDIYGSXGSVGE7QG2KQ3F}

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	2026-05-18T00:13:47.733384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70bb73bd43460d2b9a55313f036950d9563741fcb91cd08165e93c32ab135572

Aliases

arxiv: 1708.03071 · arxiv_version: 1708.03071v2 · doi: 10.48550/arxiv.1708.03071 · pith_short_12: OC5XHPKDIYGS · pith_short_16: OC5XHPKDIYGSXGSV · pith_short_8: OC5XHPKD

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/OC5XHPKDIYGSXGSVGE7QG2KQ3F \
  | 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: 70bb73bd43460d2b9a55313f036950d9563741fcb91cd08165e93c32ab135572

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2bc2680a9bb09ddaab5295163236d4fc1adf69844d79c056997749b689494e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-08-10T04:15:16Z",
    "title_canon_sha256": "9536cbe34bbdeacca17e5a6db705f0f9d2b11bba869cb71a2afadf3531f48263"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.03071",
    "kind": "arxiv",
    "version": 2
  }
}