Pith Number

pith:XDWCICOX

pith:2012:XDWCICOX2DD6KZMBSKJOAHNVU2

not attested not anchored not stored refs pending

A $G$-family of quandles and handlebody-knots

Atsushi Ishii, Kanako Oshiro, Masahide Iwakiri, Yeonhee Jang

arxiv:1205.1855 v1 · 2012-05-09 · 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{XDWCICOX2DD6KZMBSKJOAHNVU2}

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	2026-05-18T03:55:58.504361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8ec2409d7d0c7e565819292e01db5a69f6e57c6d4bbd28d73f78e9f53a6dfe2

Aliases

arxiv: 1205.1855 · arxiv_version: 1205.1855v1 · doi: 10.48550/arxiv.1205.1855 · pith_short_12: XDWCICOX2DD6 · pith_short_16: XDWCICOX2DD6KZMB · pith_short_8: XDWCICOX

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/XDWCICOX2DD6KZMBSKJOAHNVU2 \
  | 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: b8ec2409d7d0c7e565819292e01db5a69f6e57c6d4bbd28d73f78e9f53a6dfe2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2c460b987a8588538b3e7ec10a326d3bc18362b209e043d58103d264c8ee185",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-05-09T01:51:43Z",
    "title_canon_sha256": "1247d4b384d060322245102d8e8812a1021285682f52fc3422d62f4fee28f757"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1855",
    "kind": "arxiv",
    "version": 1
  }
}