Pith Number

pith:AXHRAXQW

pith:2015:AXHRAXQWWBFXBNQTXWRW77IYLH

not attested not anchored not stored refs pending

Toward Topologically Based Upper Bounds on the Number of Power Flow Solutions

Daniel K Molzahn, Dhagash Mehta, Matthew Niemerg

arxiv:1509.09227 v1 · 2015-09-30 · math.OC · cs.CE · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AXHRAXQWWBFXBNQTXWRW77IYLH}

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	2026-05-18T00:58:10.292363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05cf105e16b04b70b613bda36ffd1859daf8fbdd598a1a39a9cfa34f118fac9b

Aliases

arxiv: 1509.09227 · arxiv_version: 1509.09227v1 · doi: 10.48550/arxiv.1509.09227 · pith_short_12: AXHRAXQWWBFX · pith_short_16: AXHRAXQWWBFXBNQT · pith_short_8: AXHRAXQW

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/AXHRAXQWWBFXBNQTXWRW77IYLH \
  | 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: 05cf105e16b04b70b613bda36ffd1859daf8fbdd598a1a39a9cfa34f118fac9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b89cb7838963f71ead152704c6020ebd30d2b039b5b2acd3094f477f75aef1b",
    "cross_cats_sorted": [
      "cs.CE",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-09-30T15:41:53Z",
    "title_canon_sha256": "8838e0e7d95d410bec0acbccd7138f371e2fa73daf2e2f6c827fb8929922e3ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.09227",
    "kind": "arxiv",
    "version": 1
  }
}