Pith Number

pith:ZYVKB7GP

pith:2013:ZYVKB7GP2JH4X4WUVXOUDKMMGM

not attested not anchored not stored refs pending

The pillowcase and perturbations of traceless representations of knot groups

Chris Herald, Matthew Hedden, Paul Kirk

arxiv:1301.0164 v1 · 2013-01-02 · math.GT · math.DG · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZYVKB7GP2JH4X4WUVXOUDKMMGM}

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	2026-05-18T02:38:17.438481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce2aa0fccfd24fcbf2d4addd41a98c3331c4c3b4c4768ccc0887ff606927222c

Aliases

arxiv: 1301.0164 · arxiv_version: 1301.0164v1 · doi: 10.48550/arxiv.1301.0164 · pith_short_12: ZYVKB7GP2JH4 · pith_short_16: ZYVKB7GP2JH4X4WU · pith_short_8: ZYVKB7GP

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/ZYVKB7GP2JH4X4WUVXOUDKMMGM \
  | 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: ce2aa0fccfd24fcbf2d4addd41a98c3331c4c3b4c4768ccc0887ff606927222c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fff0e137b2d253698afecf11fae33d60b9bc85cf9a0e944e77d442a7caf5e8a0",
    "cross_cats_sorted": [
      "math.DG",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-01-02T03:58:25Z",
    "title_canon_sha256": "4409e39acb75c0859f15d9599dfc6e1dbfa892a94040b2fea80244fa2c4d8e14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0164",
    "kind": "arxiv",
    "version": 1
  }
}