Pith Number

pith:S4FBTB7C

pith:2011:S4FBTB7CPMGZFQHU6FZSBUDQ3Y

not attested not anchored not stored refs pending

Exact Lagrangian immersions with a single double point

Ivan Smith, Tobias Ekholm

arxiv:1111.5932 v2 · 2011-11-25 · 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{S4FBTB7CPMGZFQHU6FZSBUDQ3Y}

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	2026-05-18T02:33:01.653540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

970a1987e27b0d92c0f4f17320d070de16923513688278a45924591c5d1796f7

Aliases

arxiv: 1111.5932 · arxiv_version: 1111.5932v2 · doi: 10.48550/arxiv.1111.5932 · pith_short_12: S4FBTB7CPMGZ · pith_short_16: S4FBTB7CPMGZFQHU · pith_short_8: S4FBTB7C

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/S4FBTB7CPMGZFQHU6FZSBUDQ3Y \
  | 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: 970a1987e27b0d92c0f4f17320d070de16923513688278a45924591c5d1796f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5b5351c0015b12af051f4b6486e4a585a41ec0afd9e14a00310776d7044999b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-11-25T09:51:59Z",
    "title_canon_sha256": "12b4872f698b526f939d11072dbdf09283a3e5f7a47112b334c40fec2c2ee404"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5932",
    "kind": "arxiv",
    "version": 2
  }
}