Pith Number

pith:Z4CQ65LO

pith:2016:Z4CQ65LOCWKIJL6I3TDBWLRGRN

not attested not anchored not stored refs pending

Linear structures on locales

Jo\~ao Paulo Santos, Pedro Resende

arxiv:1603.06435 v6 · 2016-03-21 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4CQ65LOCWKIJL6I3TDBWLRGRN}

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	2026-05-18T00:56:46.306583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf050f756e159484afc8dcc61b2e268b61305fa12de7798c87ae1f7c418a7218

Aliases

arxiv: 1603.06435 · arxiv_version: 1603.06435v6 · doi: 10.48550/arxiv.1603.06435 · pith_short_12: Z4CQ65LOCWKI · pith_short_16: Z4CQ65LOCWKIJL6I · pith_short_8: Z4CQ65LO

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/Z4CQ65LOCWKIJL6I3TDBWLRGRN \
  | 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: cf050f756e159484afc8dcc61b2e268b61305fa12de7798c87ae1f7c418a7218

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1a6ce2abb125ae8015a55326d87fc17ccdca5882f3d38668cb614f478dfcd03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-03-21T14:28:11Z",
    "title_canon_sha256": "72f1b418f6f733dfb92e657a9253cfb97c707e4c764705fcca17009af03eb2f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06435",
    "kind": "arxiv",
    "version": 6
  }
}