Pith Number

pith:VBSXXFHW

pith:2008:VBSXXFHWGW3S2Q6UASJ5536APF

not attested not anchored not stored refs pending

Dualization of the Hopf algebra of secondary cohomology operations and the Adams spectral sequence

Hans-Joachim Baues, Mamuka Jibladze

arxiv:0809.2627 v2 · 2008-09-16 · math.CT · 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{VBSXXFHWGW3S2Q6UASJ5536APF}

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	2026-05-18T04:32:56.145274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8657b94f635b72d43d40493deefc07976d6c46a02907125e567faccb7f0efb1

Aliases

arxiv: 0809.2627 · arxiv_version: 0809.2627v2 · doi: 10.48550/arxiv.0809.2627 · pith_short_12: VBSXXFHWGW3S · pith_short_16: VBSXXFHWGW3S2Q6U · pith_short_8: VBSXXFHW

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/VBSXXFHWGW3S2Q6UASJ5536APF \
  | 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: a8657b94f635b72d43d40493deefc07976d6c46a02907125e567faccb7f0efb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1385433e816b136cea12cc0c48bace48b28461779c300aaac186e218ccb74bf9",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2008-09-16T00:05:29Z",
    "title_canon_sha256": "4cc9320572f81317e022283117155639e653a7bc5a2f71d883f557ccb980b6c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.2627",
    "kind": "arxiv",
    "version": 2
  }
}