Pith Number

pith:XTLFNBMZ

pith:2018:XTLFNBMZG4T3PKWIDBNJCC6QXP

not attested not anchored not stored refs pending

Internal observability of the wave equation in a triangular domain

Anna Chiara Lai, Paola Loreti, Vilmos Komornik

arxiv:1807.10536 v1 · 2018-07-27 · 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{XTLFNBMZG4T3PKWIDBNJCC6QXP}

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	2026-05-18T00:09:40.300516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcd65685993727b7aac8185a910bd0bbfc2e2702a6643d1ceacd5ae13009f0ba

Aliases

arxiv: 1807.10536 · arxiv_version: 1807.10536v1 · doi: 10.48550/arxiv.1807.10536 · pith_short_12: XTLFNBMZG4T3 · pith_short_16: XTLFNBMZG4T3PKWI · pith_short_8: XTLFNBMZ

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/XTLFNBMZG4T3PKWIDBNJCC6QXP \
  | 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: bcd65685993727b7aac8185a910bd0bbfc2e2702a6643d1ceacd5ae13009f0ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c740b6b049adccea92bdd9b397effb2725fba5b379c8c1bf88fae197d777ba97",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-07-27T11:18:14Z",
    "title_canon_sha256": "aff6157b1cb8059fd558d24b192b58465244343f5243dd5b32034c5af8180a2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.10536",
    "kind": "arxiv",
    "version": 1
  }
}