Pith Number

pith:SPR6X2DW

pith:2016:SPR6X2DWNSCX3ZLKUSW6JGTKVU

not attested not anchored not stored refs pending

The non-multiplicativity of the signature modulo 8 of a fibre bundle is an Arf-Kervaire invariant

Carmen Rovi

arxiv:1609.01365 v2 · 2016-09-06 · math.AT · math.GT · 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{SPR6X2DWNSCX3ZLKUSW6JGTKVU}

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	2026-05-18T00:18:54.072973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93e3ebe8766c857de56aa4ade49a6aad3a77cf2624deb86ba7b73671e7f53c98

Aliases

arxiv: 1609.01365 · arxiv_version: 1609.01365v2 · doi: 10.48550/arxiv.1609.01365 · pith_short_12: SPR6X2DWNSCX · pith_short_16: SPR6X2DWNSCX3ZLK · pith_short_8: SPR6X2DW

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/SPR6X2DWNSCX3ZLKUSW6JGTKVU \
  | 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: 93e3ebe8766c857de56aa4ade49a6aad3a77cf2624deb86ba7b73671e7f53c98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7c951f2250ff14f40e5d4ada240293f2da39ed960c3153fd3fd645216de9d95",
    "cross_cats_sorted": [
      "math.GT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-09-06T01:35:05Z",
    "title_canon_sha256": "0b3eb9ca0d14f5d8d12ac53152b41ade80fa3d649540f96b03e1903e12d6b0d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01365",
    "kind": "arxiv",
    "version": 2
  }
}