Pith Number

pith:NCWNWNHJ

pith:2017:NCWNWNHJ444ULQ6YX23LJZI5KK

not attested not anchored not stored refs pending

Bifurcations of the conjugate locus

Thomas Waters

arxiv:1704.02001 v1 · 2017-04-06 · 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{NCWNWNHJ444ULQ6YX23LJZI5KK}

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	2026-05-18T00:43:50.905551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68acdb34e9e73945c3d8beb6b4e51d52b946b0d5577b8363cc2c7b455ebe83c8

Aliases

arxiv: 1704.02001 · arxiv_version: 1704.02001v1 · doi: 10.48550/arxiv.1704.02001 · pith_short_12: NCWNWNHJ444U · pith_short_16: NCWNWNHJ444ULQ6Y · pith_short_8: NCWNWNHJ

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/NCWNWNHJ444ULQ6YX23LJZI5KK \
  | 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: 68acdb34e9e73945c3d8beb6b4e51d52b946b0d5577b8363cc2c7b455ebe83c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb9ab4f47e7e1bca93da26ce3389bb5cd1ec7a5145cb1d4e57817a594ab4a978",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-04-06T19:44:46Z",
    "title_canon_sha256": "c0e139ea60f7296b15d4e607d8203158855716ff060791683e0c5e85f0cb68fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.02001",
    "kind": "arxiv",
    "version": 1
  }
}