Pith Number

pith:FH3ORI46

pith:2019:FH3ORI46746Z4AHPRJRYSC33KE

not attested not anchored not stored refs pending

Immersion in Sn by complex spinors

Rafael de Freitas Le\~ao, Samuel Augusto Wainer

arxiv:1903.10903 v1 · 2019-03-24 · 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{FH3ORI46746Z4AHPRJRYSC33KE}

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	2026-05-17T23:50:17.294671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29f6e8a39eff3d9e00ef8a63890b7b5120c9e3687ddd2633c53cfdf6dc5f78f5

Aliases

arxiv: 1903.10903 · arxiv_version: 1903.10903v1 · doi: 10.48550/arxiv.1903.10903 · pith_short_12: FH3ORI46746Z · pith_short_16: FH3ORI46746Z4AHP · pith_short_8: FH3ORI46

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/FH3ORI46746Z4AHPRJRYSC33KE \
  | 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: 29f6e8a39eff3d9e00ef8a63890b7b5120c9e3687ddd2633c53cfdf6dc5f78f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "653188f6ebbbbf04e3af4c3b44fcf869c8c308f16bf324c46e3e89bfc65f5694",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-03-24T20:12:04Z",
    "title_canon_sha256": "fbf2314737ca8480566aa869ea6ee8bbe66f1b90296c7c97fa0d5fc6423fc88e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.10903",
    "kind": "arxiv",
    "version": 1
  }
}