Pith Number

pith:TCF5ZINX

pith:2015:TCF5ZINXT4DH2AWKIRGNK7MLYR

not attested not anchored not stored refs pending

Complex additive geometric multilevel solvers for Helmholtz equations on spacetrees

Bram Reps, Tobias Weinzierl

arxiv:1508.03954 v3 · 2015-08-17 · cs.MS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TCF5ZINXT4DH2AWKIRGNK7MLYR}

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	2026-05-18T00:41:42.241131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

988bdca1b79f067d02ca444cd57d8bc479f8d630fd936e04db269157278b3362

Aliases

arxiv: 1508.03954 · arxiv_version: 1508.03954v3 · doi: 10.48550/arxiv.1508.03954 · pith_short_12: TCF5ZINXT4DH · pith_short_16: TCF5ZINXT4DH2AWK · pith_short_8: TCF5ZINX

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/TCF5ZINXT4DH2AWKIRGNK7MLYR \
  | 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: 988bdca1b79f067d02ca444cd57d8bc479f8d630fd936e04db269157278b3362

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8967ff36524d866fc52f30d4a53fa2fdaf5367e8a1137f053eedd6b3205f7f28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.MS",
    "submitted_at": "2015-08-17T08:51:04Z",
    "title_canon_sha256": "695d06fee222a9062f87eba3dcd1c173835d2552321bb41a2dd2bb5571dd6313"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03954",
    "kind": "arxiv",
    "version": 3
  }
}