Pith Number

pith:DJUCBNMD

pith:2020:DJUCBNMD2MAYM4FEP3EA5MWK2F

not attested not anchored not stored refs pending

On the geometry of positive cones in finitely generated groups

C. Rivas, J. Alonso, J. Brum, Y. Antol\'in

arxiv:2001.10286 v2 · 2020-01-28 · math.GR · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DJUCBNMD2MAYM4FEP3EA5MWK2F}

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	2026-07-05T03:52:10.575668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a6820b583d3018670a47ec80eb2cad1598e92ee2d4618c9bcb6a6f034a9c345

Aliases

arxiv: 2001.10286 · arxiv_version: 2001.10286v2 · doi: 10.48550/arxiv.2001.10286 · pith_short_12: DJUCBNMD2MAY · pith_short_16: DJUCBNMD2MAYM4FE · pith_short_8: DJUCBNMD

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/DJUCBNMD2MAYM4FEP3EA5MWK2F \
  | 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: 1a6820b583d3018670a47ec80eb2cad1598e92ee2d4618c9bcb6a6f034a9c345

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a507c91bedf073783767e1ebf2833dde1b01408853dd883e911838079aebdfc",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2020-01-28T12:14:08Z",
    "title_canon_sha256": "f37bba25a26ad8f3abca85cabce887b7c8cf277f34923976a4e0fe50cfefe2be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.10286",
    "kind": "arxiv",
    "version": 2
  }
}