Pith Number

pith:AIG57BZT

pith:2013:AIG57BZTDRLNCHDWO3TW2TGIVZ

not attested not anchored not stored refs pending

Unknotting rectangular diagrams of the trivial knot by exchanging moves

Chuichiro Hayashi, Sayaka Yamada

arxiv:1303.6717 v1 · 2013-03-27 · 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{AIG57BZTDRLNCHDWO3TW2TGIVZ}

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	2026-05-18T03:29:40.061877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

020ddf87331c56d11c7676e76d4cc8ae7fde6c85d00cd42fd2056d98bee32cf1

Aliases

arxiv: 1303.6717 · arxiv_version: 1303.6717v1 · doi: 10.48550/arxiv.1303.6717 · pith_short_12: AIG57BZTDRLN · pith_short_16: AIG57BZTDRLNCHDW · pith_short_8: AIG57BZT

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/AIG57BZTDRLNCHDWO3TW2TGIVZ \
  | 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: 020ddf87331c56d11c7676e76d4cc8ae7fde6c85d00cd42fd2056d98bee32cf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fc41dc5321778f34aeae02c9476d16d497fd5ea81e7f9195dfd9154adfb54ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-03-27T01:09:47Z",
    "title_canon_sha256": "be854954831d747cbf3adb901ed579eba581b3f59d00dc2dfdfb24bf3f8491d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6717",
    "kind": "arxiv",
    "version": 1
  }
}