Pith Number

pith:Z4HTBQ6T

pith:2015:Z4HTBQ6TFQ6HZF5G4CZT2TTA3U

not attested not anchored not stored refs pending

On fiber diameters of continuous maps

Emanuel A. Lazar, Neel Patel, Peter S. Landweber

arxiv:1503.07597 v2 · 2015-03-26 · math.MG · math.AT · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4HTBQ6TFQ6HZF5G4CZT2TTA3U}

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	2026-05-18T01:12:40.618156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf0f30c3d32c3c7c97a6e0b33d4e60dd0eca1d7c9a217d9b59099b6e380c2d6a

Aliases

arxiv: 1503.07597 · arxiv_version: 1503.07597v2 · doi: 10.48550/arxiv.1503.07597 · pith_short_12: Z4HTBQ6TFQ6H · pith_short_16: Z4HTBQ6TFQ6HZF5G · pith_short_8: Z4HTBQ6T

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/Z4HTBQ6TFQ6HZF5G4CZT2TTA3U \
  | 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: cf0f30c3d32c3c7c97a6e0b33d4e60dd0eca1d7c9a217d9b59099b6e380c2d6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e71360fc81dafebea35a9ff66d2c475ecdd0f70c3dbd05455ada6a072b1e5d33",
    "cross_cats_sorted": [
      "math.AT",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-03-26T02:06:32Z",
    "title_canon_sha256": "97f2b5110aba03713ebceec174dbde9b5fd4a4c3acde85dc0e99c28756a30710"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07597",
    "kind": "arxiv",
    "version": 2
  }
}