Pith Number

pith:7LFYEZSB

pith:2015:7LFYEZSBTQGPZCWJTKYZF3HR6C

not attested not anchored not stored refs pending

Reidemeister torsion, hyperbolic three-manifolds, and character varieties

Joan Porti

arxiv:1511.00400 v2 · 2015-11-02 · 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{7LFYEZSBTQGPZCWJTKYZF3HR6C}

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	2026-05-18T01:13:37.937858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

facb8266419c0cfc8ac99ab192ecf1f0a0e183eb53f96034b5a4149b1e12b834

Aliases

arxiv: 1511.00400 · arxiv_version: 1511.00400v2 · doi: 10.48550/arxiv.1511.00400 · pith_short_12: 7LFYEZSBTQGP · pith_short_16: 7LFYEZSBTQGPZCWJ · pith_short_8: 7LFYEZSB

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/7LFYEZSBTQGPZCWJTKYZF3HR6C \
  | 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: facb8266419c0cfc8ac99ab192ecf1f0a0e183eb53f96034b5a4149b1e12b834

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f07a29501d9f13ea7f99f59c88a7a6572de4c42ec0c4a6a99b00e1731c4aead",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-11-02T07:35:16Z",
    "title_canon_sha256": "dd56041f51416ec955e073f2a2212e6c4e9713394d867512b96fbb806b413f65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00400",
    "kind": "arxiv",
    "version": 2
  }
}