Pith Number

pith:2EQ37YYE

pith:2013:2EQ37YYEECVDLCHIDV6DBOJS74

not attested not anchored not stored refs pending

On the fundamental tone of immersions and submersions

Fernando Manfio, Marcos Petr\'ucio Cavalcante

arxiv:1306.1559 v4 · 2013-06-06 · 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{2EQ37YYEECVDLCHIDV6DBOJS74}

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	2026-05-18T00:32:32.845409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d121bfe30420aa3588e81d7c30b932ff24452c5a96811be974d04e9a3f40c37b

Aliases

arxiv: 1306.1559 · arxiv_version: 1306.1559v4 · doi: 10.48550/arxiv.1306.1559 · pith_short_12: 2EQ37YYEECVD · pith_short_16: 2EQ37YYEECVDLCHI · pith_short_8: 2EQ37YYE

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/2EQ37YYEECVDLCHIDV6DBOJS74 \
  | 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: d121bfe30420aa3588e81d7c30b932ff24452c5a96811be974d04e9a3f40c37b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "423d6e986336a1eb469031cfb6e1ce0e992462df6893834523b1e2477e348968",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-06-06T21:31:21Z",
    "title_canon_sha256": "d21f324047cded2d8fb88725767a14cbb8c2dc620ee1a620ef522ce47ee7b286"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1559",
    "kind": "arxiv",
    "version": 4
  }
}