Pith Number

pith:BBBW3F6D

pith:2014:BBBW3F6DE3KG2PB7S6MVI76HMS

not attested not anchored not stored refs pending

Liberations and twists of real and complex spheres

Teodor Banica

arxiv:1412.7478 v4 · 2014-12-23 · math.OA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BBBW3F6DE3KG2PB7S6MVI76HMS}

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	2026-05-18T01:25:02.316351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08436d97c326d46d3c3f9799547fc7648f0e60853f89e79ae3c2f1ca1ce359f5

Aliases

arxiv: 1412.7478 · arxiv_version: 1412.7478v4 · doi: 10.48550/arxiv.1412.7478 · pith_short_12: BBBW3F6DE3KG · pith_short_16: BBBW3F6DE3KG2PB7 · pith_short_8: BBBW3F6D

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/BBBW3F6DE3KG2PB7S6MVI76HMS \
  | 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: 08436d97c326d46d3c3f9799547fc7648f0e60853f89e79ae3c2f1ca1ce359f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47e155f7378ed6bb37e4e189f56e57699a4f35cef7e4e1831d1f6e965c0b4985",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-12-23T19:19:50Z",
    "title_canon_sha256": "585b17c551daec49fc84fa1784ba07963c8d95bc73aafa345c41c17fb26368c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7478",
    "kind": "arxiv",
    "version": 4
  }
}