Pith Number

pith:N7OOFZ5Y

pith:2016:N7OOFZ5YUJTSW7RTEVJZQPX4F5

not attested not anchored not stored refs pending

A realization theorem for sets of distances

Alfred Geroldinger (IM), Wolfgang Schmid (LAGA)

arxiv:1608.06407 v2 · 2016-08-23 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N7OOFZ5YUJTSW7RTEVJZQPX4F5}

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	2026-05-18T00:52:34.133256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fdce2e7b8a2672b7e332553983efc2f70a32a08c5829705abc3e7eed5b91d62

Aliases

arxiv: 1608.06407 · arxiv_version: 1608.06407v2 · doi: 10.48550/arxiv.1608.06407 · pith_short_12: N7OOFZ5YUJTS · pith_short_16: N7OOFZ5YUJTSW7RT · pith_short_8: N7OOFZ5Y

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/N7OOFZ5YUJTSW7RTEVJZQPX4F5 \
  | 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: 6fdce2e7b8a2672b7e332553983efc2f70a32a08c5829705abc3e7eed5b91d62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "156c380bb791e6f9eaec6faa03ec77d3a62257b01bc73b45a66361afa889889a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-08-23T07:40:01Z",
    "title_canon_sha256": "1dc3fb5254e801870d3cd8ea09ebc62dfdaf4ccede30b8407ee80cbbd7d29a26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06407",
    "kind": "arxiv",
    "version": 2
  }
}