Pith Number

pith:NXQ44ZLB

pith:2019:NXQ44ZLBI5OVI627ATA6FEEHSA

not attested not anchored not stored refs pending

Primitive stability and Bowditch's BQ-condition are equivalent

Caroline Series

arxiv:1901.01396 v1 · 2019-01-05 · 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{NXQ44ZLBI5OVI627ATA6FEEHSA}

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	2026-05-17T23:56:52.097438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6de1ce6561475d547b5f04c1e2908790191598cc21a9d2a8fe0defd27d688bbb

Aliases

arxiv: 1901.01396 · arxiv_version: 1901.01396v1 · doi: 10.48550/arxiv.1901.01396 · pith_short_12: NXQ44ZLBI5OV · pith_short_16: NXQ44ZLBI5OVI627 · pith_short_8: NXQ44ZLB

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/NXQ44ZLBI5OVI627ATA6FEEHSA \
  | 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: 6de1ce6561475d547b5f04c1e2908790191598cc21a9d2a8fe0defd27d688bbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9798d082f73e81699ccbac05e556cbd85f18f6ce008e4156a69040c66bcf7268",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-01-05T10:27:47Z",
    "title_canon_sha256": "aad6c1380fa8a0ffbffa9a648a8853d4d67d034377a8bb754a50e06ccb400850"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.01396",
    "kind": "arxiv",
    "version": 1
  }
}