Pith Number

pith:5N3W3XK3

pith:2011:5N3W3XK3VGQLVTLKPYUD3OUZQY

not attested not anchored not stored refs pending

Modified Traces on Deligne's Category Rep(S_{t})

Jonathan Comes, Jonathan R. Kujawa

arxiv:1103.2082 v1 · 2011-03-10 · 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{5N3W3XK3VGQLVTLKPYUD3OUZQY}

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	2026-05-18T02:22:30.603332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb776ddd5ba9a0bacd6a7e283dba998630410f17dd6eafec70733fbf857eb833

Aliases

arxiv: 1103.2082 · arxiv_version: 1103.2082v1 · doi: 10.48550/arxiv.1103.2082 · pith_short_12: 5N3W3XK3VGQL · pith_short_16: 5N3W3XK3VGQLVTLK · pith_short_8: 5N3W3XK3

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/5N3W3XK3VGQLVTLKPYUD3OUZQY \
  | 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: eb776ddd5ba9a0bacd6a7e283dba998630410f17dd6eafec70733fbf857eb833

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ab8ffd146cd429577d320c3757302aef76052c7f59ee1d43a051805886583c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-03-10T17:04:25Z",
    "title_canon_sha256": "53ecc0bde0ad40d1322208d48d009e9d0cefbd9f6c84ef1740b5e9648db505bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2082",
    "kind": "arxiv",
    "version": 1
  }
}