Pith Number

pith:2KDABO7W

pith:2025:2KDABO7WGTWBTG5XUQIPM7CYGK

not attested not anchored not stored refs pending

Non-improvability of sharp endpoint estimates

Armin Schikorra, Lubo\v{s} Pick, Zden\v{e}k Mihula

arxiv:2510.00792 v2 · 2025-10-01 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2KDABO7WGTWBTG5XUQIPM7CYGK}

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	2026-06-26T01:15:46.206065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d28600bbf634ec199bb7a410f67c5832ae604b0e3d40feb3f42f54d210cd4ea1

Aliases

arxiv: 2510.00792 · arxiv_version: 2510.00792v2 · doi: 10.48550/arxiv.2510.00792 · pith_short_12: 2KDABO7WGTWB · pith_short_16: 2KDABO7WGTWBTG5X · pith_short_8: 2KDABO7W

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/2KDABO7WGTWBTG5XUQIPM7CYGK \
  | 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: d28600bbf634ec199bb7a410f67c5832ae604b0e3d40feb3f42f54d210cd4ea1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a9ec6cd2441658ee21df49566420048206b4185e9817f3108242b62929bacfa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-10-01T11:43:48Z",
    "title_canon_sha256": "9b9a94e4acccee0a38602c435be09f0d6119ec0ebd5bf7b622183aeb02b7849b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.00792",
    "kind": "arxiv",
    "version": 2
  }
}