Pith Number

pith:DW67HUVP

pith:2012:DW67HUVPPUUEXZYU7RYTWM23IW

not attested not anchored not stored refs pending

Generalized crossing changes in satellite knots

Cheryl Balm

arxiv:1210.0885 v3 · 2012-10-02 · 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{DW67HUVPPUUEXZYU7RYTWM23IW}

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	2026-05-18T03:30:27.854852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dbdf3d2af7d284be714fc713b335b45b75089ae0d202cb238214cf4596bb27e

Aliases

arxiv: 1210.0885 · arxiv_version: 1210.0885v3 · doi: 10.48550/arxiv.1210.0885 · pith_short_12: DW67HUVPPUUE · pith_short_16: DW67HUVPPUUEXZYU · pith_short_8: DW67HUVP

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/DW67HUVPPUUEXZYU7RYTWM23IW \
  | 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: 1dbdf3d2af7d284be714fc713b335b45b75089ae0d202cb238214cf4596bb27e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec4c51b6a8c687e771c03d238dd23a42565d24f29eb545b7a51f9c47c3067e6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-10-02T19:21:27Z",
    "title_canon_sha256": "b5b711061246706776c96be6c887007da03803bd588a4d5b9235ec58eadb0c54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0885",
    "kind": "arxiv",
    "version": 3
  }
}