Pith Number

pith:VFY4GVKB

pith:2018:VFY4GVKBX4RAV4HF6LJPNXDX45

not attested not anchored not stored refs pending

Loops of Legendrians in contact 3-manifolds

Eduardo Fern\'andez, Francisco Presas, Javier Mart\'inez-Aguinaga

arxiv:1810.03194 v1 · 2018-10-07 · 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{VFY4GVKBX4RAV4HF6LJPNXDX45}

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	2026-05-18T00:03:54.206110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a971c35541bf220af0e5f2d2f6dc77e765e0754fb42aae56b46bb94922d3f474

Aliases

arxiv: 1810.03194 · arxiv_version: 1810.03194v1 · doi: 10.48550/arxiv.1810.03194 · pith_short_12: VFY4GVKBX4RA · pith_short_16: VFY4GVKBX4RAV4HF · pith_short_8: VFY4GVKB

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/VFY4GVKBX4RAV4HF6LJPNXDX45 \
  | 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: a971c35541bf220af0e5f2d2f6dc77e765e0754fb42aae56b46bb94922d3f474

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c7ee1744853587af32d03738f425942504e619a8acd79e24a38c855825950b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2018-10-07T18:30:09Z",
    "title_canon_sha256": "76a4743c5416039a98ee655979eae1830ae747207b86db2b6ee41f1b0ab8c2af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.03194",
    "kind": "arxiv",
    "version": 1
  }
}