Pith Number

pith:HD2RCYEJ

pith:2013:HD2RCYEJVON4L75BQBK3HDSBL3

not attested not anchored not stored refs pending

Algorithmic problems for free-abelian times free groups

E. Ventura, J. Delgado

arxiv:1301.2355 v1 · 2013-01-10 · 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{HD2RCYEJVON4L75BQBK3HDSBL3}

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	2026-05-18T03:36:38.150959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38f5116089ab9bc5ffa18055b38e415eed4421610bb3c2cd3aecdad8fd807a69

Aliases

arxiv: 1301.2355 · arxiv_version: 1301.2355v1 · doi: 10.48550/arxiv.1301.2355 · pith_short_12: HD2RCYEJVON4 · pith_short_16: HD2RCYEJVON4L75B · pith_short_8: HD2RCYEJ

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/HD2RCYEJVON4L75BQBK3HDSBL3 \
  | 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: 38f5116089ab9bc5ffa18055b38e415eed4421610bb3c2cd3aecdad8fd807a69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32726b71733ebfd2c05365c5d7a6e7c9bbf3248d1da29bf1e67872b0e9d1b9fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-01-10T23:26:08Z",
    "title_canon_sha256": "beb190a9eaaac5c43f647b4b4b3e59f15bc53df536bc1bdf36ab3965b56290de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2355",
    "kind": "arxiv",
    "version": 1
  }
}