Pith Number

pith:R55EYG2E

pith:2013:R55EYG2EUMFJ2JZTSPN2T2AFH2

not attested not anchored not stored refs pending

de Branges spaces with bi-Lipschitz phase for large distances

Philippe Poulin, Simon Cowell

arxiv:1306.6199 v2 · 2013-06-26 · 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{R55EYG2EUMFJ2JZTSPN2T2AFH2}

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	2026-05-18T02:41:58.397612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f7a4c1b44a30a9d273393dba9e8053eb2659eabeac6236aacc99a7f1e6ee0a1

Aliases

arxiv: 1306.6199 · arxiv_version: 1306.6199v2 · doi: 10.48550/arxiv.1306.6199 · pith_short_12: R55EYG2EUMFJ · pith_short_16: R55EYG2EUMFJ2JZT · pith_short_8: R55EYG2E

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/R55EYG2EUMFJ2JZTSPN2T2AFH2 \
  | 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: 8f7a4c1b44a30a9d273393dba9e8053eb2659eabeac6236aacc99a7f1e6ee0a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d6ce3de1591e454f6dd2579418d00e43ce2a75a40fcca3029ac303997943f68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-06-26T11:01:22Z",
    "title_canon_sha256": "c5b9a41370ee587144d1070dde3c592bd974a4669520fa923089360d5b908216"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6199",
    "kind": "arxiv",
    "version": 2
  }
}