Pith Number

pith:SQ2J2UDH

pith:2010:SQ2J2UDH3WDN4IDLVACGDPBTPE

not attested not anchored not stored refs pending

Braiding via geometric Lie algebra actions

Joel Kamnitzer, Sabin Cautis

arxiv:1001.0619 v4 · 2010-01-05 · math.AG · 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{SQ2J2UDH3WDN4IDLVACGDPBTPE}

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	2026-05-17T23:53:37.053644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94349d5067dd86de206ba80461bc337921d0d6282727cf8a54bed07fb94a022e

Aliases

arxiv: 1001.0619 · arxiv_version: 1001.0619v4 · doi: 10.48550/arxiv.1001.0619 · pith_short_12: SQ2J2UDH3WDN · pith_short_16: SQ2J2UDH3WDN4IDL · pith_short_8: SQ2J2UDH

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/SQ2J2UDH3WDN4IDLVACGDPBTPE \
  | 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: 94349d5067dd86de206ba80461bc337921d0d6282727cf8a54bed07fb94a022e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e20699cdedf4fab538f06a292b5a07d59559b1c1b2cc8e7467086026651baa7b",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-01-05T03:37:01Z",
    "title_canon_sha256": "778535ec931304797b2ec2a35a511cfe4c458e965c3977df53ceb94a6558e32d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0619",
    "kind": "arxiv",
    "version": 4
  }
}