Pith Number

pith:ZTA2YUDO

pith:2016:ZTA2YUDOF3CPXASJDPLOEME2MK

not attested not anchored not stored refs pending

Landweber flat real pairs and ER(n)-cohomology

Nitu Kitchloo, Vitaly Lorman, W. Stephen Wilson

arxiv:1603.06865 v3 · 2016-03-22 · 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{ZTA2YUDOF3CPXASJDPLOEME2MK}

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	2026-05-18T00:31:52.151094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccc1ac506e2ec4fb82491bd6e2309a62b24c513465f468bca3b684f82681d00c

Aliases

arxiv: 1603.06865 · arxiv_version: 1603.06865v3 · doi: 10.48550/arxiv.1603.06865 · pith_short_12: ZTA2YUDOF3CP · pith_short_16: ZTA2YUDOF3CPXASJ · pith_short_8: ZTA2YUDO

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/ZTA2YUDOF3CPXASJDPLOEME2MK \
  | 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: ccc1ac506e2ec4fb82491bd6e2309a62b24c513465f468bca3b684f82681d00c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "414132271b75afe5210beb65818a9ada17a72671e1b895d9dba30423bd2ea577",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-03-22T16:50:29Z",
    "title_canon_sha256": "86b5f9003ce1e72f6e332e2196f9e87e911f95fbf0227515f0df30b1c028f046"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06865",
    "kind": "arxiv",
    "version": 3
  }
}