Pith Number

pith:FOFYPHFP

pith:2019:FOFYPHFPGPPKPS7KXMLR7AZ6RU

not attested not anchored not stored refs pending

A non-degenerate exchange move always produces infinitely many non-conjugate braids

Tetsuya Ito

arxiv:1908.01485 v1 · 2019-08-05 · 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{FOFYPHFPGPPKPS7KXMLR7AZ6RU}

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	2026-07-05T03:35:24.815305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b8b879caf33dea7cbeabb171f833e8d17a3954a6b2ed488013fd0f3850bcef4

Aliases

arxiv: 1908.01485 · arxiv_version: 1908.01485v1 · doi: 10.48550/arxiv.1908.01485 · pith_short_12: FOFYPHFPGPPK · pith_short_16: FOFYPHFPGPPKPS7K · pith_short_8: FOFYPHFP

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/FOFYPHFPGPPKPS7KXMLR7AZ6RU \
  | 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: 2b8b879caf33dea7cbeabb171f833e8d17a3954a6b2ed488013fd0f3850bcef4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fb589026b25e8f9aaace854fd25fb0e108ba6743fdba14bf1855d2f214ac76c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-08-05T06:41:33Z",
    "title_canon_sha256": "703feddff2638359b24640a13bb2692304c1d09988d279eb874639d15deaca87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01485",
    "kind": "arxiv",
    "version": 1
  }
}