Pith Number

pith:3NKZKVOA

pith:2017:3NKZKVOACFDTLZRG46JRUZQEWI

not attested not anchored not stored refs pending

Stratification and duality for homotopical groups

Drew Heard, Gabriel Valenzuela, Natalia Castellana, Tobias Barthel

arxiv:1711.03491 v2 · 2017-11-09 · math.AT · math.GR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3NKZKVOACFDTLZRG46JRUZQEWI}

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	2026-05-17T23:41:27.898091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db559555c0114735e626e7931a6604b2140a220384b9e35e1b7053c42d2a6039

Aliases

arxiv: 1711.03491 · arxiv_version: 1711.03491v2 · doi: 10.48550/arxiv.1711.03491 · pith_short_12: 3NKZKVOACFDT · pith_short_16: 3NKZKVOACFDTLZRG · pith_short_8: 3NKZKVOA

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/3NKZKVOACFDTLZRG46JRUZQEWI \
  | 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: db559555c0114735e626e7931a6604b2140a220384b9e35e1b7053c42d2a6039

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e8fbdd2edda47732f1e48774b8b03b9ed31087352fddb9976d155f59069abff",
    "cross_cats_sorted": [
      "math.GR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-11-09T17:44:33Z",
    "title_canon_sha256": "0bd8a576e68b71fe4216b93e2ef7ac806622a2ce2db0b38379b5deea1d6df840"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.03491",
    "kind": "arxiv",
    "version": 2
  }
}