Pith Number

pith:V7CHEGKE

pith:2016:V7CHEGKE2EJGXGJ4TTLONQLHGY

not attested not anchored not stored refs pending

Towards an understanding of ramified extensions of structured ring spectra

Ayelet Lindenstrauss, Birgit Richter, Bj{\o}rn Ian Dundas

arxiv:1604.05857 v3 · 2016-04-20 · 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{V7CHEGKE2EJGXGJ4TTLONQLHGY}

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	2026-07-05T01:26:02.523039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afc4721944d1126b993c9cd6e6c167360b7d140ca3f152bac573ef83042156fc

Aliases

arxiv: 1604.05857 · arxiv_version: 1604.05857v3 · doi: 10.48550/arxiv.1604.05857 · pith_short_12: V7CHEGKE2EJG · pith_short_16: V7CHEGKE2EJGXGJ4 · pith_short_8: V7CHEGKE

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/V7CHEGKE2EJGXGJ4TTLONQLHGY \
  | 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: afc4721944d1126b993c9cd6e6c167360b7d140ca3f152bac573ef83042156fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "575f7fa4ba4deb1564a78798ca1c60348e39ccb650091593582b71866b41fd80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-04-20T08:42:06Z",
    "title_canon_sha256": "ea214477cc5e69bfe78a03efa2e742c1f1110b76981121faedb23f3f68e5c5ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05857",
    "kind": "arxiv",
    "version": 3
  }
}