Pith Number

pith:HLBECQDC

pith:2015:HLBECQDC7FDOIEZ7CS5OWCGMNC

not attested not anchored not stored refs pending

A note on the topology of irreducible ${\rm SO}(3)$-manifolds

Panagiotis Konstantis

arxiv:1508.06150 v4 · 2015-08-25 · math.AT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HLBECQDC7FDOIEZ7CS5OWCGMNC}

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	2026-05-18T00:32:15.415651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ac2414062f946e4133f14baeb08cc68a4e0e0694636e9b3adb77c333df265fd

Aliases

arxiv: 1508.06150 · arxiv_version: 1508.06150v4 · doi: 10.48550/arxiv.1508.06150 · pith_short_12: HLBECQDC7FDO · pith_short_16: HLBECQDC7FDOIEZ7 · pith_short_8: HLBECQDC

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/HLBECQDC7FDOIEZ7CS5OWCGMNC \
  | 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: 3ac2414062f946e4133f14baeb08cc68a4e0e0694636e9b3adb77c333df265fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee2b0ded427483337b281bae745fe3e23167578eadc65ae1be6876da6ecef1be",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-08-25T13:47:23Z",
    "title_canon_sha256": "6d76210aa3d93bc320386bdcfe9537885397689a3c329d6d612b10f4be057ec3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06150",
    "kind": "arxiv",
    "version": 4
  }
}