Pith Number

pith:7W4XJGKU

pith:2012:7W4XJGKUR5SNV7ET2QJEPOJG5K

not attested not anchored not stored refs pending

Averaging t-structures and extension closure of aisles

David Pauksztello, David Ploog, Nathan Broomhead

arxiv:1208.5691 v2 · 2012-08-28 · math.RT · 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{7W4XJGKUR5SNV7ET2QJEPOJG5K}

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.

Cited by

1 paper in Pith

Fishing for complements

Receipt and verification

First computed	2026-05-18T03:44:59.949536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdb97499548f64dafc93d41247b926ea85d376cda8777610a1e3ff8ade3f7a57

Aliases

arxiv: 1208.5691 · arxiv_version: 1208.5691v2 · doi: 10.48550/arxiv.1208.5691 · pith_short_12: 7W4XJGKUR5SN · pith_short_16: 7W4XJGKUR5SNV7ET · pith_short_8: 7W4XJGKU

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/7W4XJGKUR5SNV7ET2QJEPOJG5K \
  | 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: fdb97499548f64dafc93d41247b926ea85d376cda8777610a1e3ff8ade3f7a57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "805e104443f938ed75c1f3aa5832c3cdeb8cbb3d2c0fa2eb097630be9dd3dc7e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-08-28T15:44:10Z",
    "title_canon_sha256": "b4d92f6d00ee6cd7a6c0cf88ef8fda89480479d6e26f8e294d0c69e9e8a9aa34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5691",
    "kind": "arxiv",
    "version": 2
  }
}