Pith Number

pith:SJSWKFQH

pith:2014:SJSWKFQHDESXH3U4E3KJTKHQC6

not attested not anchored not stored refs pending

On spaces extremal for the Gomory-Hu inequality

E. Petrov, H.-M. Teichert, O. Dovgoshey

arxiv:1412.1979 v1 · 2014-12-05 · 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{SJSWKFQHDESXH3U4E3KJTKHQC6}

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	2026-05-18T02:32:05.668713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9265651607192573ee9c26d499a8f017aea80a82904681eb7f706579ce4a6e50

Aliases

arxiv: 1412.1979 · arxiv_version: 1412.1979v1 · doi: 10.48550/arxiv.1412.1979 · pith_short_12: SJSWKFQHDESX · pith_short_16: SJSWKFQHDESXH3U4 · pith_short_8: SJSWKFQH

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/SJSWKFQHDESXH3U4E3KJTKHQC6 \
  | 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: 9265651607192573ee9c26d499a8f017aea80a82904681eb7f706579ce4a6e50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9772d9a370e57b54d74e9c46024e5936690ba0faf00f0a5f7661f79773b87fdc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-12-05T12:23:28Z",
    "title_canon_sha256": "5a4783dabbc2f87cb25b8259c2034a23ecb0d1b8711f8911ecda7536e0f5aa34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1979",
    "kind": "arxiv",
    "version": 1
  }
}