Pith Number

pith:TUIZQ6HK

pith:2015:TUIZQ6HK5OCTZ4XRVKD3CXNTT4

not attested not anchored not stored refs pending

CR embedded submanifolds of CR manifolds

A. Rod Gover, Sean N. Curry

arxiv:1511.07928 v2 · 2015-11-25 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TUIZQ6HK5OCTZ4XRVKD3CXNTT4}

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	2026-05-18T01:04:45.613218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d119878eaeb853cf2f1aa87b15db39f28d35c3787fa5d8d6efa4e3f46a8096b

Aliases

arxiv: 1511.07928 · arxiv_version: 1511.07928v2 · doi: 10.48550/arxiv.1511.07928 · pith_short_12: TUIZQ6HK5OCT · pith_short_16: TUIZQ6HK5OCTZ4XR · pith_short_8: TUIZQ6HK

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/TUIZQ6HK5OCTZ4XRVKD3CXNTT4 \
  | 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: 9d119878eaeb853cf2f1aa87b15db39f28d35c3787fa5d8d6efa4e3f46a8096b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dc3a12d21b09ecf75c78f7d6f32cc91b94ee283f7bc6ff09f7acb88da3d6d48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-11-25T01:17:55Z",
    "title_canon_sha256": "5737499f1b309b5deb424e5cdc9920e17408f0171997fdb1283d298d38e12726"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07928",
    "kind": "arxiv",
    "version": 2
  }
}