Pith Number

pith:TFHQH4MP

pith:2011:TFHQH4MPTJLLJUQ4RV3RCFHYHP

not attested not anchored not stored refs pending

Smith theory and geometric Hecke algebras

David Treumann

arxiv:1107.3798 v1 · 2011-07-19 · 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{TFHQH4MPTJLLJUQ4RV3RCFHYHP}

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	2026-05-18T04:17:15.920383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

994f03f18f9a56b4d21c8d771114f83befdb1b3610252e25fd2e642c93c9d15b

Aliases

arxiv: 1107.3798 · arxiv_version: 1107.3798v1 · doi: 10.48550/arxiv.1107.3798 · pith_short_12: TFHQH4MPTJLL · pith_short_16: TFHQH4MPTJLLJUQ4 · pith_short_8: TFHQH4MP

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/TFHQH4MPTJLLJUQ4RV3RCFHYHP \
  | 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: 994f03f18f9a56b4d21c8d771114f83befdb1b3610252e25fd2e642c93c9d15b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20256e4125c8a51635a8fcd606b392073f8c92af9b424a9c486cd2c721ddf055",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-07-19T18:29:34Z",
    "title_canon_sha256": "a127baf3fb7728c0e4e0129cb7a979b856ef2461283e072c636964dc18ed084c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3798",
    "kind": "arxiv",
    "version": 1
  }
}