Pith Number

pith:W7TUHSGG

pith:2016:W7TUHSGGRC6RLTUK666YJ7SOUH

not attested not anchored not stored refs pending

Steiner Problem in Gromov-Hausdorff Space: the Case of Finite Metric Spaces

Alexander Ivanov, Alexey Tuzhilin, Nadezhda Nikolaeva

arxiv:1604.02170 v1 · 2016-04-07 · 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{W7TUHSGGRC6RLTUK666YJ7SOUH}

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	2026-05-18T01:17:28.297904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7e743c8c688bd15ce8af7bd84fe4ea1d1618077f874696d9c427f0378f932c5

Aliases

arxiv: 1604.02170 · arxiv_version: 1604.02170v1 · doi: 10.48550/arxiv.1604.02170 · pith_short_12: W7TUHSGGRC6R · pith_short_16: W7TUHSGGRC6RLTUK · pith_short_8: W7TUHSGG

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/W7TUHSGGRC6RLTUK666YJ7SOUH \
  | 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: b7e743c8c688bd15ce8af7bd84fe4ea1d1618077f874696d9c427f0378f932c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e027b823b7f88be1478864531aca5dc034a54fce43331d32d210a3fa9cf06684",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-04-07T20:33:18Z",
    "title_canon_sha256": "31750aadb240c0b674c819b0dedb94e45bfbd69650da0db0f2cddf76f10e83d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02170",
    "kind": "arxiv",
    "version": 1
  }
}