Pith Number

pith:7TH2LDPQ

pith:2014:7TH2LDPQ2O4INRATEPTBN6ME5O

not attested not anchored not stored refs pending

Fixed points of local actions of nilpotent Lie groups on surfaces

Morris W. Hirsch

arxiv:1405.2331 v1 · 2014-05-09 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7TH2LDPQ2O4INRATEPTBN6ME5O}

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	2026-05-18T01:21:32.758763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fccfa58df0d3b886c41323e616f984ebbb1b1267cf33a73d915705975d5e8f5a

Aliases

arxiv: 1405.2331 · arxiv_version: 1405.2331v1 · doi: 10.48550/arxiv.1405.2331 · pith_short_12: 7TH2LDPQ2O4I · pith_short_16: 7TH2LDPQ2O4INRAT · pith_short_8: 7TH2LDPQ

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/7TH2LDPQ2O4INRATEPTBN6ME5O \
  | 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: fccfa58df0d3b886c41323e616f984ebbb1b1267cf33a73d915705975d5e8f5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0540f36d308b149c304b9d58f6f982e2301181cae0403f8932d236ce54099ae8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-05-09T19:55:29Z",
    "title_canon_sha256": "52c8b0f21bf25da6313418ec7755d964e82bb0c8f49bedcb2c103ba82c63afe5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2331",
    "kind": "arxiv",
    "version": 1
  }
}