pith. sign in
Pith Number

pith:H7AGAWDT

pith:2019:H7AGAWDTXZONBMRYCOGIFPMCOZ
not attested not anchored not stored refs pending

Splitting chains, tunnels and twisted sums

Antonio Avil\'es, David Chodounsk\'y, F\'elix Cabello S\'anchez, Osvaldo Guzm\'an, Piotr Borodulin-Nadzieja

arxiv:1907.09743 v1 · 2019-07-23 · math.LO · math.FA · math.GN

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{H7AGAWDTXZONBMRYCOGIFPMCOZ}

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 2026-05-17T23:39:50.210141Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3fc0605873be5cd0b238138c82bd82764495b701870715c118f22ee3c661b45f

Aliases

arxiv: 1907.09743 · arxiv_version: 1907.09743v1 · doi: 10.48550/arxiv.1907.09743 · pith_short_12: H7AGAWDTXZON · pith_short_16: H7AGAWDTXZONBMRY · pith_short_8: H7AGAWDT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/H7AGAWDTXZONBMRYCOGIFPMCOZ \
  | 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: 3fc0605873be5cd0b238138c82bd82764495b701870715c118f22ee3c661b45f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0e0a580658e66d44dd37b33a6593f38b4e675e2eed32729507f402a28419d8c4",
    "cross_cats_sorted": [
      "math.FA",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-07-23T08:13:48Z",
    "title_canon_sha256": "34cc02cf655c00cfe64c70c35c4b9ef4ea764a30555b037f26fe4ccfb433c048"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09743",
    "kind": "arxiv",
    "version": 1
  }
}