Pith Number

pith:AX7O6UPH

pith:2014:AX7O6UPHX7OT34V5G2GB6KDAVC

not attested not anchored not stored refs pending

Representations of knot groups into $\mathrm{SL}_n(\mathbf{C})$ and twisted Alexander polynomials

Joan Porti, Michael Heusener

arxiv:1407.3705 v2 · 2014-07-14 · 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{AX7O6UPHX7OT34V5G2GB6KDAVC}

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	2026-05-18T01:22:22.022769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05feef51e7bfdd3df2bd368c1f2860a8b8524cf82d21e1ca70990bedb3e58def

Aliases

arxiv: 1407.3705 · arxiv_version: 1407.3705v2 · doi: 10.48550/arxiv.1407.3705 · pith_short_12: AX7O6UPHX7OT · pith_short_16: AX7O6UPHX7OT34V5 · pith_short_8: AX7O6UPH

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/AX7O6UPHX7OT34V5G2GB6KDAVC \
  | 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: 05feef51e7bfdd3df2bd368c1f2860a8b8524cf82d21e1ca70990bedb3e58def

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4db80d35e6cf86b42f236489aab8164f688e5bbc7dd73c8b845e24b445936a16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-07-14T15:53:35Z",
    "title_canon_sha256": "56c6bdfb28592476b752b602513a4b573d0513020f0d9a589e0b001e05fd2d10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.3705",
    "kind": "arxiv",
    "version": 2
  }
}