Pith Number

pith:VL4F5A54

pith:2013:VL4F5A54USM5GI6JSJOVNX5ZOH

not attested not anchored not stored refs pending

On the formal affine Hecke algebra

Changlong Zhong

arxiv:1301.7497 v3 · 2013-01-31 · math.RA · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VL4F5A54USM5GI6JSJOVNX5ZOH}

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	2026-05-18T01:33:07.089776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaf85e83bca499d323c9925d56dfb971eb00d798463b97b989a87dad6be20961

Aliases

arxiv: 1301.7497 · arxiv_version: 1301.7497v3 · doi: 10.48550/arxiv.1301.7497 · pith_short_12: VL4F5A54USM5 · pith_short_16: VL4F5A54USM5GI6J · pith_short_8: VL4F5A54

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/VL4F5A54USM5GI6JSJOVNX5ZOH \
  | 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: aaf85e83bca499d323c9925d56dfb971eb00d798463b97b989a87dad6be20961

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaaa813f9868d08f5d3511c692a627405489973019bc53fc07b9dc9a669851c3",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-01-31T02:45:29Z",
    "title_canon_sha256": "f681cc7a5aa2ee0a9273752749d68e170e15148a7eea0366fcc27c1405c1ba53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7497",
    "kind": "arxiv",
    "version": 3
  }
}