Pith Number

pith:AHKJV6U3

pith:2013:AHKJV6U3HZQLW6MNPQULVD57IH

not attested not anchored not stored refs pending

A Categorification of the Burau representation at prime roots of unity

Joshua Sussan, You Qi

arxiv:1312.7692 v2 · 2013-12-30 · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AHKJV6U3HZQLW6MNPQULVD57IH}

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	2026-05-18T01:11:37.540834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01d49afa9b3e60bb798d7c28ba8fbf41ecaf0ef9c7d032b0c5503a8f0e3ed207

Aliases

arxiv: 1312.7692 · arxiv_version: 1312.7692v2 · doi: 10.48550/arxiv.1312.7692 · pith_short_12: AHKJV6U3HZQL · pith_short_16: AHKJV6U3HZQLW6MN · pith_short_8: AHKJV6U3

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/AHKJV6U3HZQLW6MNPQULVD57IH \
  | 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: 01d49afa9b3e60bb798d7c28ba8fbf41ecaf0ef9c7d032b0c5503a8f0e3ed207

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "492d2aaab2a8f35843aba50acca2dfdcbed791a0b02131b6b8bd866d11590bba",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-12-30T12:14:50Z",
    "title_canon_sha256": "ed736d9be069ed1f3ba7ed9705ead36fcf1a34ff1e03622ecca67ef144698074"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7692",
    "kind": "arxiv",
    "version": 2
  }
}