Pith Number

pith:5CG3XBOY

pith:2009:5CG3XBOYUFT2Q6ILAHAQ2KKFJI

not attested not anchored not stored refs pending

On extension of coverings

Igor Rivin, Manfred Droste

arxiv:0901.3594 v2 · 2009-01-23 · 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{5CG3XBOYUFT2Q6ILAHAQ2KKFJI}

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	2026-05-18T02:58:10.778908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e88dbb85d8a167a8790b01c10d29454a1df571e04efc98dc781e6e810c88bfa1

Aliases

arxiv: 0901.3594 · arxiv_version: 0901.3594v2 · doi: 10.48550/arxiv.0901.3594 · pith_short_12: 5CG3XBOYUFT2 · pith_short_16: 5CG3XBOYUFT2Q6IL · pith_short_8: 5CG3XBOY

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/5CG3XBOYUFT2Q6ILAHAQ2KKFJI \
  | 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: e88dbb85d8a167a8790b01c10d29454a1df571e04efc98dc781e6e810c88bfa1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e99649df1482239963f15a4eeff1e3753852178f83723a06f9c3a90ea54c7b5c",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-01-23T03:10:35Z",
    "title_canon_sha256": "7e11084c4746c688d8ac49b95271c25a9d2ad28b5c34ad9ea5b83c8ed1d16ec4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.3594",
    "kind": "arxiv",
    "version": 2
  }
}