Pith Number

pith:CZCSJ2K7

pith:2011:CZCSJ2K7IY43NSS2QZMGHVAPEO

not attested not anchored not stored refs pending

Abelian varieties and the Kervaire invariant

Jack Morava

arxiv:1105.0539 v1 · 2011-05-03 · math.AT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CZCSJ2K7IY43NSS2QZMGHVAPEO}

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	2026-05-18T04:23:11.114688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

164524e95f4639b6ca5a865863d40f23b25a7a578a0c7b59ebe57f3128fc60c5

Aliases

arxiv: 1105.0539 · arxiv_version: 1105.0539v1 · doi: 10.48550/arxiv.1105.0539 · pith_short_12: CZCSJ2K7IY43 · pith_short_16: CZCSJ2K7IY43NSS2 · pith_short_8: CZCSJ2K7

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/CZCSJ2K7IY43NSS2QZMGHVAPEO \
  | 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: 164524e95f4639b6ca5a865863d40f23b25a7a578a0c7b59ebe57f3128fc60c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dd39d99aa42d98631b1f6b3827e3c31e8942e14cf84c476594ad603c12cb666",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-05-03T10:33:21Z",
    "title_canon_sha256": "67d95ff1671732d891412d86a308216896165e4fa2b423a5b740a3eb2a546032"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0539",
    "kind": "arxiv",
    "version": 1
  }
}