Pith Number

pith:J7E36DAQ

pith:2004:J7E36DAQPEJXBEC6RQZDTH6WXH

not attested not anchored not stored refs pending

Differentials in the homological homotopy fixed point spectral sequence

John Rognes, Robert R. Bruner

arxiv:math/0406081 v2 · 2004-06-04 · 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{J7E36DAQPEJXBEC6RQZDTH6WXH}

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	2026-05-18T02:41:32.409120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fc9bf0c10791370905e8c32399fd6b9c7fe7e67f6b98ca20d50fa8e7a8da521

Aliases

arxiv: math/0406081 · arxiv_version: math/0406081v2 · doi: 10.48550/arxiv.math/0406081 · pith_short_12: J7E36DAQPEJX · pith_short_16: J7E36DAQPEJXBEC6 · pith_short_8: J7E36DAQ

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/J7E36DAQPEJXBEC6RQZDTH6WXH \
  | 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: 4fc9bf0c10791370905e8c32399fd6b9c7fe7e67f6b98ca20d50fa8e7a8da521

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "679eefe2d472757cde421ba6b1d7343efdc27636d7ae8feda7eb4a3b5f8eac5a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2004-06-04T12:05:21Z",
    "title_canon_sha256": "d607f8cc2b85b46c7ea9f4883ebfdffac7cf505c4770429ab08532753045e321"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406081",
    "kind": "arxiv",
    "version": 2
  }
}