Pith Number

pith:ZTV3QBLE

pith:2014:ZTV3QBLERIB75QQ6JDSSKB5M7M

not attested not anchored not stored refs pending

Bridge spectra of twisted torus knots

Alex Zupan, R. Sean Bowman, Scott Taylor

arxiv:1403.6504 v1 · 2014-03-25 · 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{ZTV3QBLERIB75QQ6JDSSKB5M7M}

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	2026-05-18T02:55:29.800643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccebb805648a03fec21e48e52507acfb0feaab982e1ebcd3c1f4579c0cc55218

Aliases

arxiv: 1403.6504 · arxiv_version: 1403.6504v1 · doi: 10.48550/arxiv.1403.6504 · pith_short_12: ZTV3QBLERIB7 · pith_short_16: ZTV3QBLERIB75QQ6 · pith_short_8: ZTV3QBLE

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/ZTV3QBLERIB75QQ6JDSSKB5M7M \
  | 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: ccebb805648a03fec21e48e52507acfb0feaab982e1ebcd3c1f4579c0cc55218

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d976c3fc76e27c2b09785f0d2d57bb3bab48e65ecdce9684a19896cfdf61f29e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-03-25T20:55:48Z",
    "title_canon_sha256": "355644ceb8b152f238ff31daceb8ead0675f660fc12f6d5c52b944eaebd2f593"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.6504",
    "kind": "arxiv",
    "version": 1
  }
}