Pith Number

pith:PHT4SYS5

pith:2009:PHT4SYS53V2DTM53CMV6WZZCWD

not attested not anchored not stored refs pending

Separate continuity of the Lempert function of the spectral ball

Nikolai Nikolov, Pascal J. Thomas

arxiv:0910.4299 v2 · 2009-10-22 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PHT4SYS53V2DTM53CMV6WZZCWD}

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	2026-05-18T04:08:13.658522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79e7c9625ddd7439b3bb132beb6722b0f648cb264d0758e9369e82571feebb12

Aliases

arxiv: 0910.4299 · arxiv_version: 0910.4299v2 · doi: 10.48550/arxiv.0910.4299 · pith_short_12: PHT4SYS53V2D · pith_short_16: PHT4SYS53V2DTM53 · pith_short_8: PHT4SYS5

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/PHT4SYS53V2DTM53CMV6WZZCWD \
  | 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: 79e7c9625ddd7439b3bb132beb6722b0f648cb264d0758e9369e82571feebb12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02494f36fc7e9f0ccc5be5e0e8df5fbbb0a05fb0f5b465c82eed1183cec7fdf6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2009-10-22T11:42:35Z",
    "title_canon_sha256": "9a454e5a7aa509e667a25ff9128cb47db7764003b4739d8f0b43867ed8070d44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.4299",
    "kind": "arxiv",
    "version": 2
  }
}