Pith Number

pith:NIA6KUYH

pith:2016:NIA6KUYH7ZRFTOAXLE4L7JQF4D

not attested not anchored not stored refs pending

Oriented area is a perfect Morse function

Gaiane Panina

arxiv:1611.04265 v1 · 2016-11-14 · 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{NIA6KUYH7ZRFTOAXLE4L7JQF4D}

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	2026-05-18T00:59:17.006333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a01e55307fe6259b8175938bfa605e0fd6fafdcb20b4f21e425f7c6a9c8585a

Aliases

arxiv: 1611.04265 · arxiv_version: 1611.04265v1 · doi: 10.48550/arxiv.1611.04265 · pith_short_12: NIA6KUYH7ZRF · pith_short_16: NIA6KUYH7ZRFTOAX · pith_short_8: NIA6KUYH

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/NIA6KUYH7ZRFTOAXLE4L7JQF4D \
  | 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: 6a01e55307fe6259b8175938bfa605e0fd6fafdcb20b4f21e425f7c6a9c8585a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3ef31ec9b6e21a72ea70fa4f3054cd765e77858e987b902f995eb4d6f133dde",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-11-14T07:00:39Z",
    "title_canon_sha256": "237b57428472f6dd9eba2c5e2231875cbac53d93b37f4ef55f5ecdcbee26a657"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04265",
    "kind": "arxiv",
    "version": 1
  }
}