Pith Number

pith:AHPEAFAQ

pith:2015:AHPEAFAQHCYVUQMTU7SVF37IME

not attested not anchored not stored refs pending

Multi-bump solutions for a Kirchhoff problem type

Claudianor O. Alves, Giovany M. Figueiredo

arxiv:1507.07361 v1 · 2015-07-27 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AHPEAFAQHCYVUQMTU7SVF37IME}

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	2026-05-18T01:36:16.546512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01de40141038b15a4193a7e552efe861137a47b7dfbd536463e28702ffe64695

Aliases

arxiv: 1507.07361 · arxiv_version: 1507.07361v1 · doi: 10.48550/arxiv.1507.07361 · pith_short_12: AHPEAFAQHCYV · pith_short_16: AHPEAFAQHCYVUQMT · pith_short_8: AHPEAFAQ

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/AHPEAFAQHCYVUQMTU7SVF37IME \
  | 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: 01de40141038b15a4193a7e552efe861137a47b7dfbd536463e28702ffe64695

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "264bcd459bfde7604e32bc3dff87ca3c8a5db83465c92acbd07ff74ecc4742f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-27T10:56:33Z",
    "title_canon_sha256": "2ea467ddec1c4b0c439f3e415ea4016f7a497ed1397fd8930509eb11a4596a23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07361",
    "kind": "arxiv",
    "version": 1
  }
}