Pith Number

pith:SS7F3JFO

pith:2015:SS7F3JFOLBLSAANTMMPRHNGNOG

not attested not anchored not stored refs pending

Existence h-principle for Engel structures

\'Alvaro del Pino, Francisco Presas, Jose Luis P\'erez, Roger Casals

arxiv:1507.05342 v2 · 2015-07-19 · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SS7F3JFOLBLSAANTMMPRHNGNOG}

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	2026-05-18T01:36:27.104756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94be5da4ae58572001b3631f13b4cd71aff99d9d142ae4d95403a240aa5340ea

Aliases

arxiv: 1507.05342 · arxiv_version: 1507.05342v2 · doi: 10.48550/arxiv.1507.05342 · pith_short_12: SS7F3JFOLBLS · pith_short_16: SS7F3JFOLBLSAANT · pith_short_8: SS7F3JFO

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/SS7F3JFOLBLSAANTMMPRHNGNOG \
  | 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: 94be5da4ae58572001b3631f13b4cd71aff99d9d142ae4d95403a240aa5340ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d212644b3bcef5d11f2ae8295079eb7692653a6e60d11203599bae9a22765759",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-07-19T21:24:04Z",
    "title_canon_sha256": "2d0c574d69e0f88797b72d6eaaf6bfb07ab3b893f95fdaad3e2d688be3c125c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05342",
    "kind": "arxiv",
    "version": 2
  }
}