Pith Number

pith:HB4YGFIC

pith:2016:HB4YGFIC4WIPKGSOIPOF7I5LVJ

not attested not anchored not stored refs pending

Motivic and Real Etale Stable Homotopy Theory

Tom Bachmann

arxiv:1608.08855 v3 · 2016-08-31 · math.KT · math.AG · 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{HB4YGFIC4WIPKGSOIPOF7I5LVJ}

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	2026-05-17T23:53:13.025421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3879831502e590f51a4e43dc5fa3abaa5e077d61a4f0e09ea359dbae1990768f

Aliases

arxiv: 1608.08855 · arxiv_version: 1608.08855v3 · doi: 10.48550/arxiv.1608.08855 · pith_short_12: HB4YGFIC4WIP · pith_short_16: HB4YGFIC4WIPKGSO · pith_short_8: HB4YGFIC

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/HB4YGFIC4WIPKGSOIPOF7I5LVJ \
  | 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: 3879831502e590f51a4e43dc5fa3abaa5e077d61a4f0e09ea359dbae1990768f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "098d884338382b36c7c298cdad7732127a49128173d3058fbaa0e1cf9e6f8aa7",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2016-08-31T13:57:01Z",
    "title_canon_sha256": "eeb8fac4f5cdd44212d1bfa78681d1ae068c2f33b590c43fed346fd010255bfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08855",
    "kind": "arxiv",
    "version": 3
  }
}