Pith Number

pith:F6AC3YNN

pith:2010:F6AC3YNN2557I63BXCWIC7T657

not attested not anchored not stored refs pending

Core property of smooth contractive embeddable functions for an elliptic operator

Benedict Baur

arxiv:1008.3520 v2 · 2010-08-20 · math.FA · 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{F6AC3YNN2557I63BXCWIC7T657}

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	2026-05-18T04:34:08.732140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f802de1add77bf47b61b8ac817e7eeff632f747ff27f50465113093c718e8f5

Aliases

arxiv: 1008.3520 · arxiv_version: 1008.3520v2 · doi: 10.48550/arxiv.1008.3520 · pith_short_12: F6AC3YNN2557 · pith_short_16: F6AC3YNN2557I63B · pith_short_8: F6AC3YNN

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/F6AC3YNN2557I63BXCWIC7T657 \
  | 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: 2f802de1add77bf47b61b8ac817e7eeff632f747ff27f50465113093c718e8f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "555ed459711cc75e6970675581eff39d3dc7fcd87fe08b1c8281542aac79010b",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-08-20T14:54:29Z",
    "title_canon_sha256": "cf8b197d4f0b9c780fc09ab64db3d6d7623535b572787d66b329b0841edb1d24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3520",
    "kind": "arxiv",
    "version": 2
  }
}