Pith Number

pith:PXTQO2WK

pith:2009:PXTQO2WKXEMJI7FMEUWHKLDTNF

not attested not anchored not stored refs pending

Gysin map and Atiyah-Hirzebruch spectral sequence

Fabio Ferrari Ruffino

arxiv:0904.4103 v3 · 2009-04-27 · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PXTQO2WKXEMJI7FMEUWHKLDTNF}

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	2026-05-18T04:25:28.758592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7de7076acab918947cac252c752c73696f2f322f75d9a9d646d711e1cc24518d

Aliases

arxiv: 0904.4103 · arxiv_version: 0904.4103v3 · doi: 10.48550/arxiv.0904.4103 · pith_short_12: PXTQO2WKXEMJ · pith_short_16: PXTQO2WKXEMJI7FM · pith_short_8: PXTQO2WK

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/PXTQO2WKXEMJI7FMEUWHKLDTNF \
  | 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: 7de7076acab918947cac252c752c73696f2f322f75d9a9d646d711e1cc24518d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84f873ff219f15379333bc7834abdd673e7f42dae9994ffbdfe3b356a3f31218",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-04-27T07:52:08Z",
    "title_canon_sha256": "74e7e3a44169f7bfc11e152c285736b4278e0a6718608d24d3157aa118b5d1d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.4103",
    "kind": "arxiv",
    "version": 3
  }
}