Pith Number

pith:646F32R4

pith:2012:646F32R4YBRJOCFWIYS3CX6EF2

not attested not anchored not stored refs pending

Exact Lagrangian immersions with one double point revisited

Ivan Smith, Tobias Ekholm

arxiv:1211.1715 v3 · 2012-11-07 · 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{646F32R4YBRJOCFWIYS3CX6EF2}

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	2026-05-18T03:18:20.387833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f73c5dea3cc0629708b64625b15fc42e9a31cb6fdfe592f1f2cd3b63db89ab91

Aliases

arxiv: 1211.1715 · arxiv_version: 1211.1715v3 · doi: 10.48550/arxiv.1211.1715 · pith_short_12: 646F32R4YBRJ · pith_short_16: 646F32R4YBRJOCFW · pith_short_8: 646F32R4

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/646F32R4YBRJOCFWIYS3CX6EF2 \
  | 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: f73c5dea3cc0629708b64625b15fc42e9a31cb6fdfe592f1f2cd3b63db89ab91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a35929086b90917934a396b413bf74b49968862daeec7f11912900f3f39c4d22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-11-07T22:41:13Z",
    "title_canon_sha256": "fe418efa5d2b04ef230b3e50774c486a3a1f7f1c5ce40509259bb36a9741c76b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1715",
    "kind": "arxiv",
    "version": 3
  }
}