Pith Number

pith:6DJLLGHR

pith:2011:6DJLLGHR4TFITODYKPPQHAYDWW

not attested not anchored not stored refs pending

Weight cycling and Serre-type conjectures for unitary groups

Florian Herzig, Matthew Emerton, Toby Gee

arxiv:1106.4522 v2 · 2011-06-22 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6DJLLGHR4TFITODYKPPQHAYDWW}

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	2026-07-05T00:26:53.847205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0d2b598f1e4ca89b87853df038303b5ae3bd67ce041b088c59b437b99042ce8

Aliases

arxiv: 1106.4522 · arxiv_version: 1106.4522v2 · doi: 10.48550/arxiv.1106.4522 · pith_short_12: 6DJLLGHR4TFI · pith_short_16: 6DJLLGHR4TFITODY · pith_short_8: 6DJLLGHR

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/6DJLLGHR4TFITODYKPPQHAYDWW \
  | 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: f0d2b598f1e4ca89b87853df038303b5ae3bd67ce041b088c59b437b99042ce8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f13c619fd970e0fdfa31327d3c83e4f6b5ccfe077abecc1418ed0300aae36a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-06-22T18:23:59Z",
    "title_canon_sha256": "77b91eb45d6b0828636d1a7cdf5f0d1536187266039084aed49a3c72c016109f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4522",
    "kind": "arxiv",
    "version": 2
  }
}