Pith Number

pith:IWL7CZS4

pith:2012:IWL7CZS4X5KCYH5YLDKONDPWNZ

not attested not anchored not stored refs pending

Plane curves in an immersed graph in $R^2$

Kouki Taniyama, Marisa Sakamoto

arxiv:1210.7315 v1 · 2012-10-27 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IWL7CZS4X5KCYH5YLDKONDPWNZ}

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	2026-05-18T03:42:10.524529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4597f1665cbf542c1fb858d4e68df66e7aa97f95cb54572f6c019f3ebd7f99db

Aliases

arxiv: 1210.7315 · arxiv_version: 1210.7315v1 · doi: 10.48550/arxiv.1210.7315 · pith_short_12: IWL7CZS4X5KC · pith_short_16: IWL7CZS4X5KCYH5Y · pith_short_8: IWL7CZS4

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/IWL7CZS4X5KCYH5YLDKONDPWNZ \
  | 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: 4597f1665cbf542c1fb858d4e68df66e7aa97f95cb54572f6c019f3ebd7f99db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b318cf5c7243cc3ad187c483e648d7728474a7a532a6c48aa85d1b45dd21a885",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-10-27T11:32:12Z",
    "title_canon_sha256": "c29ca04a5602f17b1f3412e6eec37646596f44bbe07cd2fcfaa6c732835b1f78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7315",
    "kind": "arxiv",
    "version": 1
  }
}