Pith Number

pith:H7T6RGTB

pith:2016:H7T6RGTBN3KVFAFVRJTDNLBHOF

not attested not anchored not stored refs pending

Structure theorems for singular minimal laminations

Antonio Ros, Joaquin Perez, William H. Meeks III

arxiv:1602.03197 v2 · 2016-02-09 · 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{H7T6RGTBN3KVFAFVRJTDNLBHOF}

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	2026-05-18T00:57:04.729057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fe7e89a616ed55280b58a6636ac277168b00d216f88b477e710a81afd064d0a

Aliases

arxiv: 1602.03197 · arxiv_version: 1602.03197v2 · doi: 10.48550/arxiv.1602.03197 · pith_short_12: H7T6RGTBN3KV · pith_short_16: H7T6RGTBN3KVFAFV · pith_short_8: H7T6RGTB

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/H7T6RGTBN3KVFAFVRJTDNLBHOF \
  | 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: 3fe7e89a616ed55280b58a6636ac277168b00d216f88b477e710a81afd064d0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53555030e6fc1cb985dab77cf37a2d8cfc4fc5c1246bde1af8d4bdca06598ad8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-02-09T21:27:22Z",
    "title_canon_sha256": "f2e976412ecc0380fcf8008b2fb959bba43bbb36ccdbf97137c2f3001bc5e07d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03197",
    "kind": "arxiv",
    "version": 2
  }
}