Pith Number

pith:GNPFYWLQ

pith:2019:GNPFYWLQMV2DJBRVWAHAAJ53XT

not attested not anchored not stored refs pending

Linking topological spheres

Piotr Haj{\l}asz

arxiv:1906.01771 v1 · 2019-06-05 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GNPFYWLQMV2DJBRVWAHAAJ53XT}

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	2026-05-17T23:44:06.310717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

335e5c59706574348635b00e0027bbbcdf04056def2af37b41c36f3aa09fbb85

Aliases

arxiv: 1906.01771 · arxiv_version: 1906.01771v1 · doi: 10.48550/arxiv.1906.01771 · pith_short_12: GNPFYWLQMV2D · pith_short_16: GNPFYWLQMV2DJBRV · pith_short_8: GNPFYWLQ

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/GNPFYWLQMV2DJBRVWAHAAJ53XT \
  | 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: 335e5c59706574348635b00e0027bbbcdf04056def2af37b41c36f3aa09fbb85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2e9c009325b6b91d250f41d885dfcc6b31eb1f649a6bd66df78c1d8e6488671",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-06-05T01:01:03Z",
    "title_canon_sha256": "ff72c14e6f8533fcfbfcc916fd2ebea70292191db4348b9ca62a198a4000d6ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.01771",
    "kind": "arxiv",
    "version": 1
  }
}