Pith Number

pith:TJVDFNUS

pith:2008:TJVDFNUSX3IRDWDPHFP4VWKAPI

not attested not anchored not stored refs pending

On extensions of d.c. functions and convex functions

Libor Vesely, Ludek Zajicek

arxiv:0810.1433 v1 · 2008-10-08 · 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{TJVDFNUSX3IRDWDPHFP4VWKAPI}

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	2026-07-04T15:14:58.557030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a6a32b692bed111d86f395fcad9407a264e10bcc25bd08668a541bdeaea7e49

Aliases

arxiv: 0810.1433 · arxiv_version: 0810.1433v1 · doi: 10.48550/arxiv.0810.1433 · pith_short_12: TJVDFNUSX3IR · pith_short_16: TJVDFNUSX3IRDWDP · pith_short_8: TJVDFNUS

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/TJVDFNUSX3IRDWDPHFP4VWKAPI \
  | 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: 9a6a32b692bed111d86f395fcad9407a264e10bcc25bd08668a541bdeaea7e49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b58da8e21af00eeadf627bf98e4535f768d1aac4725d0afa1c1b4ab74cd9ce24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2008-10-08T13:40:06Z",
    "title_canon_sha256": "1908155429909cd0fb3c60c469cbc6a604139f6ace6a387fb6012fb1bf83ce97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.1433",
    "kind": "arxiv",
    "version": 1
  }
}