Pith Number

pith:IEPJFJZ4

pith:2013:IEPJFJZ4W35NDHVLNG2TGILEBJ

not attested not anchored not stored refs pending

A free subgroup in the image of the 4-strand Burau representation

Matthew C. B. Zaremsky, Stefan Witzel

arxiv:1304.7923 v1 · 2013-04-30 · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IEPJFJZ4W35NDHVLNG2TGILEBJ}

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	2026-05-18T00:44:19.996590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

411e92a73cb6fad19eab69b53321640a64efed9edd42aa21aaa5560f0e98420f

Aliases

arxiv: 1304.7923 · arxiv_version: 1304.7923v1 · doi: 10.48550/arxiv.1304.7923 · pith_short_12: IEPJFJZ4W35N · pith_short_16: IEPJFJZ4W35NDHVL · pith_short_8: IEPJFJZ4

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/IEPJFJZ4W35NDHVLNG2TGILEBJ \
  | 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: 411e92a73cb6fad19eab69b53321640a64efed9edd42aa21aaa5560f0e98420f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc1fed7afdbc2f6ff687f6f17eea86dc1edae3b6d3b8819822d24e9d42449a2f",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-04-30T09:07:36Z",
    "title_canon_sha256": "e17204d47c3c694683118dc936062ec3ec4bc322caf2c36b76268afd7aca2086"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7923",
    "kind": "arxiv",
    "version": 1
  }
}