Pith Number

pith:S7BSMFVC

pith:2012:S7BSMFVCT75J4UYCH7RZ52KXRN

not attested not anchored not stored refs pending

Loose Legendrians and the plastikstufe

Andr\'as I. Stipsicz, Emmy Murphy, Klaus Niederkr\"uger, Olga Plamenevskaya

arxiv:1211.3895 v1 · 2012-11-16 · math.SG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S7BSMFVCT75J4UYCH7RZ52KXRN}

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	2026-05-18T02:38:17.510247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97c32616a29ffa9e53023fe39ee9578b7549cd233870b5bc88dc05339b05cc27

Aliases

arxiv: 1211.3895 · arxiv_version: 1211.3895v1 · doi: 10.48550/arxiv.1211.3895 · pith_short_12: S7BSMFVCT75J · pith_short_16: S7BSMFVCT75J4UYC · pith_short_8: S7BSMFVC

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/S7BSMFVCT75J4UYCH7RZ52KXRN \
  | 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: 97c32616a29ffa9e53023fe39ee9578b7549cd233870b5bc88dc05339b05cc27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9731db6cacc190dc1130a69ca4ba57be1e56d8072332faeaf7db57bfbaf33692",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-11-16T14:18:17Z",
    "title_canon_sha256": "192bd81003a418b278586a6539ed7c3013324e2e836f1a74862871ffb2b41ca7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3895",
    "kind": "arxiv",
    "version": 1
  }
}