Pith Number

pith:6YSQJ2GH

pith:2015:6YSQJ2GHB2STDBN6PBRVHHDQJC

not attested not anchored not stored refs pending

$P_{Z}(S)$-Metrics and $P_{Z}(S)$-Metric Spaces

Reza Jafarpour-Golzari

arxiv:1512.08760 v1 · 2015-12-29 · 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{6YSQJ2GHB2STDBN6PBRVHHDQJC}

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	2026-05-18T01:23:34.956056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f62504e8c70ea53185be7863539c7048bf9431da82b8ecd3fad17fe58dd41325

Aliases

arxiv: 1512.08760 · arxiv_version: 1512.08760v1 · doi: 10.48550/arxiv.1512.08760 · pith_short_12: 6YSQJ2GHB2ST · pith_short_16: 6YSQJ2GHB2STDBN6 · pith_short_8: 6YSQJ2GH

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/6YSQJ2GHB2STDBN6PBRVHHDQJC \
  | 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: f62504e8c70ea53185be7863539c7048bf9431da82b8ecd3fad17fe58dd41325

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e14e657f3a1fce24c4b586181f33216abaa4941a989da5227bcf135df57451a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2015-12-29T19:23:04Z",
    "title_canon_sha256": "02f0394ceb8773ac1917a1624584c39f2ac7e2e7924d965ce3a9b09efca699dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08760",
    "kind": "arxiv",
    "version": 1
  }
}