Pith Number

pith:BOT3JBEY

pith:2016:BOT3JBEYEMFPFGMICFE6K5KXIH

not attested not anchored not stored refs pending

The Steklov spectrum and coarse discretizations of manifolds with boundary

Alexandre Girouard, Binoy Raveendran, Bruno Colbois

arxiv:1612.07665 v1 · 2016-12-22 · math.DG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BOT3JBEYEMFPFGMICFE6K5KXIH}

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	2026-05-18T00:54:09.576288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ba7b48498230af299881149e5755741c2a2e68a521c906a853169c7afd95099

Aliases

arxiv: 1612.07665 · arxiv_version: 1612.07665v1 · doi: 10.48550/arxiv.1612.07665 · pith_short_12: BOT3JBEYEMFP · pith_short_16: BOT3JBEYEMFPFGMI · pith_short_8: BOT3JBEY

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/BOT3JBEYEMFPFGMICFE6K5KXIH \
  | 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: 0ba7b48498230af299881149e5755741c2a2e68a521c906a853169c7afd95099

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "777fa92487c1e854cfd1971bd148bfddf78603e4b79b22d4ed35432f18527dc2",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-12-22T16:00:44Z",
    "title_canon_sha256": "dfc3316ca7459ec52b65e466a18f40f7447b4e4c8ed70d17b3df440bd3ffc945"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07665",
    "kind": "arxiv",
    "version": 1
  }
}