Pith Number

pith:QARMC2TI

pith:2026:QARMC2TI3DDKKBDFTWMBP27FN5

not attested not anchored not stored refs pending

Algebraic properties of twisted Alexander polynomial and Reidemeister torsion of torus knots

Anh T. Tran, Takayuki Morifuji

arxiv:2605.22308 v1 · 2026-05-21 · 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{QARMC2TI3DDKKBDFTWMBP27FN5}

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	2026-05-22T01:04:37.113878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8022c16a68d8c6a504659d9817ebe56f73dbfdebe5e3f469e14a7d41af460a8a

Aliases

arxiv: 2605.22308 · arxiv_version: 2605.22308v1 · doi: 10.48550/arxiv.2605.22308 · pith_short_12: QARMC2TI3DDK · pith_short_16: QARMC2TI3DDKKBDF · pith_short_8: QARMC2TI

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/QARMC2TI3DDKKBDFTWMBP27FN5 \
  | 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: 8022c16a68d8c6a504659d9817ebe56f73dbfdebe5e3f469e14a7d41af460a8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e96b32dbe62a75447a8ffe0f7b903a133c9f339f8c3242179194ed88b97b88fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-05-21T10:55:21Z",
    "title_canon_sha256": "04ba32fc728a20c91a8d9e4a166041c319853e7fbce26f2c2dce7a1d58e4ff00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22308",
    "kind": "arxiv",
    "version": 1
  }
}