Pith Number

pith:PDYSVP45

pith:2013:PDYSVP45KDGNK4KHU452NHDE3Z

not attested not anchored not stored refs pending

The $T$-equivariant integral cohomology ring of $F_4/T$

Takashi Sato

arxiv:1305.1117 v3 · 2013-05-06 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PDYSVP45KDGNK4KHU452NHDE3Z}

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	2026-05-18T01:28:15.236944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78f12abf9d50ccd57147a73ba69c64de504c9685a8a660b10aab7eb1be88fa1e

Aliases

arxiv: 1305.1117 · arxiv_version: 1305.1117v3 · doi: 10.48550/arxiv.1305.1117 · pith_short_12: PDYSVP45KDGN · pith_short_16: PDYSVP45KDGNK4KH · pith_short_8: PDYSVP45

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/PDYSVP45KDGNK4KHU452NHDE3Z \
  | 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: 78f12abf9d50ccd57147a73ba69c64de504c9685a8a660b10aab7eb1be88fa1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "446b49537b99528d33ad7ffe4ac0fb42226f35f6c5ab9db7288cbfa548406186",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-05-06T08:53:05Z",
    "title_canon_sha256": "0a6567ec71a984c29f4dc5f3c05e0bdc120536eb9b741b7b6da96efcfbeb3dbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1117",
    "kind": "arxiv",
    "version": 3
  }
}