Pith Number

pith:GOQTUS5V

pith:2016:GOQTUS5VBDY5PWYPSUVECCT3TF

not attested not anchored not stored refs pending

The discrete centroaffine indefinite surface

Yanhua Yu, Yun Yang

arxiv:1609.02702 v1 · 2016-09-09 · 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{GOQTUS5VBDY5PWYPSUVECCT3TF}

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	2026-05-18T01:04:51.471943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33a13a4bb508f1d7db0f952a410a7b994d97a7aeabfc63fb242399b8d8e4af15

Aliases

arxiv: 1609.02702 · arxiv_version: 1609.02702v1 · doi: 10.48550/arxiv.1609.02702 · pith_short_12: GOQTUS5VBDY5 · pith_short_16: GOQTUS5VBDY5PWYP · pith_short_8: GOQTUS5V

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/GOQTUS5VBDY5PWYPSUVECCT3TF \
  | 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: 33a13a4bb508f1d7db0f952a410a7b994d97a7aeabfc63fb242399b8d8e4af15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b20809b061128104ec9c35f9f4da57ab2bd2f52e58d68ad11b588590f288711b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-09-09T08:46:10Z",
    "title_canon_sha256": "89556a57d94e47eeb72d83aefdc8232a37b33f63c52e64242311b4a29e059908"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02702",
    "kind": "arxiv",
    "version": 1
  }
}