Pith Number

pith:O4BQYND5

pith:2015:O4BQYND5S56EDZ2S6HP6OZKCDG

not attested not anchored not stored refs pending

On certain L-functions for deformations of knot group representations

Masanori Morishita, Ryoto Tange, Takahiro Kitayama, Yuji Terashima

arxiv:1506.00351 v3 · 2015-06-01 · math.GT · math.AT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O4BQYND5S56EDZ2S6HP6OZKCDG}

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	2026-05-18T01:07:21.181199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77030c347d977c41e752f1dfe76542198fe859f431b58a630d15ac475e04e34e

Aliases

arxiv: 1506.00351 · arxiv_version: 1506.00351v3 · doi: 10.48550/arxiv.1506.00351 · pith_short_12: O4BQYND5S56E · pith_short_16: O4BQYND5S56EDZ2S · pith_short_8: O4BQYND5

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/O4BQYND5S56EDZ2S6HP6OZKCDG \
  | 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: 77030c347d977c41e752f1dfe76542198fe859f431b58a630d15ac475e04e34e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c065d39098ce567df981861d14dcb204ed8ce9be65fc1a9dbcaf4f55c94afe38",
    "cross_cats_sorted": [
      "math.AT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-06-01T05:14:03Z",
    "title_canon_sha256": "1ce4fafa61fc791f3396e5f4abf9d38de44638a038d7a8adde8873d2a22dee4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00351",
    "kind": "arxiv",
    "version": 3
  }
}