Pith Number

pith:CDKBOGGM

pith:2011:CDKBOGGM3QGTUER75LDFFZ6EN5

not attested not anchored not stored refs pending

Invariants and bonnet-type theorem for surfaces in $\r^4$

Georgi Ganchev, Velichka Milousheva

arxiv:1105.3367 v1 · 2011-05-17 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CDKBOGGM3QGTUER75LDFFZ6EN5}

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	2026-05-18T04:22:00.176618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10d41718ccdc0d3a123feac652e7c46f7e0b2b5561f091284ae58817d0c5adc4

Aliases

arxiv: 1105.3367 · arxiv_version: 1105.3367v1 · doi: 10.48550/arxiv.1105.3367 · pith_short_12: CDKBOGGM3QGT · pith_short_16: CDKBOGGM3QGTUER7 · pith_short_8: CDKBOGGM

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/CDKBOGGM3QGTUER75LDFFZ6EN5 \
  | 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: 10d41718ccdc0d3a123feac652e7c46f7e0b2b5561f091284ae58817d0c5adc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc1d73d607a09f0b33f48a8f7b3a8000a6b6879c42a6829b2107762c95169be3",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-05-17T13:21:43Z",
    "title_canon_sha256": "28c5113cd8e90bbd9f982ffd6947cc03dc345d9e90875ce5e51c8f5e33af8623"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3367",
    "kind": "arxiv",
    "version": 1
  }
}