Pith Number

pith:DGM2XJOL

pith:2014:DGM2XJOLTLLC46U4RUNSB3S5PO

not attested not anchored not stored refs pending

Augmentation Rank of Satellites with Braid Pattern

Christopher R. Cornwell, David R. Hemminger

arxiv:1408.4110 v1 · 2014-08-18 · 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{DGM2XJOLTLLC46U4RUNSB3S5PO}

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	2026-05-18T02:44:57.197545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1999aba5cb9ad62e7a9c8d1b20ee5d7baba8753b331b7f52bc2e55a663a64377

Aliases

arxiv: 1408.4110 · arxiv_version: 1408.4110v1 · doi: 10.48550/arxiv.1408.4110 · pith_short_12: DGM2XJOLTLLC · pith_short_16: DGM2XJOLTLLC46U4 · pith_short_8: DGM2XJOL

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/DGM2XJOLTLLC46U4RUNSB3S5PO \
  | 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: 1999aba5cb9ad62e7a9c8d1b20ee5d7baba8753b331b7f52bc2e55a663a64377

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd7d6a05c13561035614874a42bc11dff6ef3d1ceab05415d85deb185160792e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-08-18T19:58:42Z",
    "title_canon_sha256": "6ba720751399f0a007994b6cc14cda5413858159f6a24f8324369aca241cbcee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4110",
    "kind": "arxiv",
    "version": 1
  }
}