Pith Number

pith:FBZCCYPD

pith:2016:FBZCCYPD6KZZMOZDS54KRRZLHZ

not attested not anchored not stored refs pending

On powers of half-twists in M(0,2n)

Gregor Masbaum

arxiv:1608.08449 v2 · 2016-08-30 · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FBZCCYPD6KZZMOZDS54KRRZLHZ}

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	2026-05-18T01:02:20.503672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28722161e3f2b3963b239778a8c72b3e5b2a01fe5853d2316473fc8cd9800223

Aliases

arxiv: 1608.08449 · arxiv_version: 1608.08449v2 · doi: 10.48550/arxiv.1608.08449 · pith_short_12: FBZCCYPD6KZZ · pith_short_16: FBZCCYPD6KZZMOZD · pith_short_8: FBZCCYPD

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/FBZCCYPD6KZZMOZDS54KRRZLHZ \
  | 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: 28722161e3f2b3963b239778a8c72b3e5b2a01fe5853d2316473fc8cd9800223

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cef2f0010187833f6408dd3b1ad59415246d281001eb0743ad1891a66aad16c",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-08-30T13:54:47Z",
    "title_canon_sha256": "0757bac3c763ffcccfcefdc24aaae89477a8607e3d7249415b6c7779d9cda565"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08449",
    "kind": "arxiv",
    "version": 2
  }
}