Pith Number

pith:IBU4RI43

pith:2004:IBU4RI43HUXELDZ52UMLCBNEMU

not attested not anchored not stored refs pending

Braids and Permutations

Vladimir Lin

arxiv:math/0404528 v1 · 2004-04-29 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IBU4RI43HUXELDZ52UMLCBNEMU}

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.

Cited by

2 papers in Pith

Rigidity of maps between configuration spaces

Universal virtual braid groups

Receipt and verification

First computed	2026-07-04T14:38:34.321963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4069c8a39b3d2e458f3dd518b105a46511781ac90df9d4a0c050fcf68bcb9a50

Aliases

arxiv: math/0404528 · arxiv_version: math/0404528v1 · doi: 10.48550/arxiv.math/0404528 · pith_short_12: IBU4RI43HUXE · pith_short_16: IBU4RI43HUXELDZ5 · pith_short_8: IBU4RI43

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/IBU4RI43HUXELDZ52UMLCBNEMU \
  | 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: 4069c8a39b3d2e458f3dd518b105a46511781ac90df9d4a0c050fcf68bcb9a50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c14e62ae728b4c7297a64f870d3c0aa8cf3281ba13caec62a2f418757eeaf42c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2004-04-29T13:29:13Z",
    "title_canon_sha256": "51d78b32b6cf397559e0be4ea49a45ef0fa2df124ca1b8ebf00f63cb5d1c609b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0404528",
    "kind": "arxiv",
    "version": 1
  }
}