Pith Number

pith:SNTZGFB4

pith:2013:SNTZGFB4BGLII2VMQNEFAAO2TH

not attested not anchored not stored refs pending

Extensions of topological Abelian groups and three-space problems

Hugo J. Bello, Mar\'ia Jes\'us Chasco, Xabier Dom\'inguez

arxiv:1305.4515 v1 · 2013-05-20 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SNTZGFB4BGLII2VMQNEFAAO2TH}

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	2026-05-18T03:25:23.497622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

936793143c0996846aac83485001da99ec377a01c7eeefa0ef3b0a89402a5a42

Aliases

arxiv: 1305.4515 · arxiv_version: 1305.4515v1 · doi: 10.48550/arxiv.1305.4515 · pith_short_12: SNTZGFB4BGLI · pith_short_16: SNTZGFB4BGLII2VM · pith_short_8: SNTZGFB4

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/SNTZGFB4BGLII2VMQNEFAAO2TH \
  | 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: 936793143c0996846aac83485001da99ec377a01c7eeefa0ef3b0a89402a5a42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6515a8d340ace76a53d7c90e4baec7cf6a06600ebcfa8c96cfdbaa2d122f3c9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2013-05-20T13:04:17Z",
    "title_canon_sha256": "3b603ceae18f427ce472e9af30c8690b8a5a7d06063cd6dea8b8d607958fceb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4515",
    "kind": "arxiv",
    "version": 1
  }
}