Pith Number

pith:QK45PWDE

pith:2007:QK45PWDEXQSU256UQCSNWOYJLE

not attested not anchored not stored refs pending

Permutation actions on equivariant cohomology

Julianna S. Tymoczko

arxiv:0706.0460 v1 · 2007-06-04 · math.AT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QK45PWDEXQSU256UQCSNWOYJLE}

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

Divided difference operators for Hessenberg representations

Receipt and verification

First computed	2026-07-04T15:01:39.332687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82b9d7d864bc254d77d480a4db3b09592243b8ee629c7413b7e5484ccc39c1e1

Aliases

arxiv: 0706.0460 · arxiv_version: 0706.0460v1 · doi: 10.48550/arxiv.0706.0460 · pith_short_12: QK45PWDEXQSU · pith_short_16: QK45PWDEXQSU256U · pith_short_8: QK45PWDE

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/QK45PWDEXQSU256UQCSNWOYJLE \
  | 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: 82b9d7d864bc254d77d480a4db3b09592243b8ee629c7413b7e5484ccc39c1e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f17365d43580df18f22d3603deb1689d5090c0c4eeedb81f5647028e6549b5fc",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2007-06-04T15:42:37Z",
    "title_canon_sha256": "fd0fb97dc66e77465a26d7ae494dd5e7b5e0680c5a55af75923d6db27b219afa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.0460",
    "kind": "arxiv",
    "version": 1
  }
}