Pith Number

pith:BE2SIWG6

pith:2015:BE2SIWG6UI3LU4FJSMHQMCLSTC

not attested not anchored not stored refs pending

Survey on analytic and topological torsion

Wolfgang Lueck

arxiv:1502.07584 v3 · 2015-02-26 · 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{BE2SIWG6UI3LU4FJSMHQMCLSTC}

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	2026-05-18T01:27:31.889852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09352458dea236ba70a9930f060972989cc64792e039f758f0d63f6e15207638

Aliases

arxiv: 1502.07584 · arxiv_version: 1502.07584v3 · doi: 10.48550/arxiv.1502.07584 · pith_short_12: BE2SIWG6UI3L · pith_short_16: BE2SIWG6UI3LU4FJ · pith_short_8: BE2SIWG6

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/BE2SIWG6UI3LU4FJSMHQMCLSTC \
  | 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: 09352458dea236ba70a9930f060972989cc64792e039f758f0d63f6e15207638

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41029fc25f473a90521dc26c134f14df8471387d3eb60d4404fa7a07914e2534",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-02-26T15:06:00Z",
    "title_canon_sha256": "23ae751021b43c6103d15f62019ef56eaefcab2e2fa50959e3801e16fb6386b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07584",
    "kind": "arxiv",
    "version": 3
  }
}