Pith Number

pith:PW3BC4MY

pith:2017:PW3BC4MY2X5HBVBB6KC2DUEFTQ

not attested not anchored not stored refs pending

Nontrivial elements in a knot group which are trivialized by Dehn fillings

Kimihiko Motegi, Masakazu Teragaito, Tetsuya Ito

arxiv:1705.04470 v2 · 2017-05-12 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PW3BC4MY2X5HBVBB6KC2DUEFTQ}

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	2026-05-17T23:50:38.944075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7db6117198d5fa70d421f285a1d0859c355c4f12a6150eb45aa62ba215bf030c

Aliases

arxiv: 1705.04470 · arxiv_version: 1705.04470v2 · doi: 10.48550/arxiv.1705.04470 · pith_short_12: PW3BC4MY2X5H · pith_short_16: PW3BC4MY2X5HBVBB · pith_short_8: PW3BC4MY

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/PW3BC4MY2X5HBVBB6KC2DUEFTQ \
  | 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: 7db6117198d5fa70d421f285a1d0859c355c4f12a6150eb45aa62ba215bf030c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0573a01f14703ce83863cd940850abb070eaf102beff79709c691f770307f769",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-05-12T08:40:18Z",
    "title_canon_sha256": "bede3133392bc8f082c5e4fe18b32ec695237cfb95cee57508bd99eae0154787"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04470",
    "kind": "arxiv",
    "version": 2
  }
}