Pith Number

pith:MKYW5YUA

pith:2016:MKYW5YUAKFP6OVDSUYECOJABTH

not attested not anchored not stored refs pending

High dimensionality and h-principle in PDE

Camillo De Lellis, L\'aszl\'o Sz\'ekelyhidi Jr

arxiv:1609.03180 v1 · 2016-09-11 · math.AP · 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{MKYW5YUAKFP6OVDSUYECOJABTH}

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	2026-05-18T01:04:47.611199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62b16ee280515fe75472a60827240199d06c51b6fd463edcb6519b8ddaefa64c

Aliases

arxiv: 1609.03180 · arxiv_version: 1609.03180v1 · doi: 10.48550/arxiv.1609.03180 · pith_short_12: MKYW5YUAKFP6 · pith_short_16: MKYW5YUAKFP6OVDS · pith_short_8: MKYW5YUA

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/MKYW5YUAKFP6OVDSUYECOJABTH \
  | 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: 62b16ee280515fe75472a60827240199d06c51b6fd463edcb6519b8ddaefa64c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8354f45aa2502cdc7117bb8fe268d9e122b10815f459ff7489ea3186a57d8c86",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-09-11T16:40:59Z",
    "title_canon_sha256": "6bdbda566d85b536d953080c104f14e29d38ea6c5484589064ce773bd2cb323a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03180",
    "kind": "arxiv",
    "version": 1
  }
}