Pith Number

pith:HIXPNTUX

pith:2019:HIXPNTUXUAEWJTHOG6UWYJTZ6I

not attested not anchored not stored refs pending

Electrical Flows over Spanning Trees

Ali Khodabakhsh, Evdokia Nikolova, Hassan Mortagy, Swati Gupta

arxiv:1909.04759 v3 · 2019-09-10 · cs.DS · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HIXPNTUXUAEWJTHOG6UWYJTZ6I}

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	2026-07-05T06:43:42.643517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a2ef6ce97a00964ccee37a96c2679f22faff4378fe7ae7ebeebc403d318d071

Aliases

arxiv: 1909.04759 · arxiv_version: 1909.04759v3 · doi: 10.48550/arxiv.1909.04759 · pith_short_12: HIXPNTUXUAEW · pith_short_16: HIXPNTUXUAEWJTHO · pith_short_8: HIXPNTUX

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/HIXPNTUXUAEWJTHOG6UWYJTZ6I \
  | 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: 3a2ef6ce97a00964ccee37a96c2679f22faff4378fe7ae7ebeebc403d318d071

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35ec4f3e32ebe9207d10c5609734e1b2459f8466e4ba5d4ad60e1874a9db0a04",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2019-09-10T21:20:11Z",
    "title_canon_sha256": "1661487a4fbe00c1ccfc63148499aa6f4517f25c91456b28694dade26866fb3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.04759",
    "kind": "arxiv",
    "version": 3
  }
}