Pith Number

pith:GXVOOBIB

pith:2012:GXVOOBIBJPUYXW7Y7QOBA6DSM5

not attested not anchored not stored refs pending

Properties of functions with monotone graphs

Ale\v{s} Nekvinda, Michael Hru\v{s}\'ak, Ond\v{r}ej Zindulka, Tam\'as M\'atrai, V\'aclav Vlas\'ak

arxiv:1210.1952 v1 · 2012-10-06 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GXVOOBIBJPUYXW7Y7QOBA6DSM5}

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	2026-05-18T03:43:51.490198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35eae705014be98bdbf8fc1c10787267661dce63d8f494a70f0214c72387bfb9

Aliases

arxiv: 1210.1952 · arxiv_version: 1210.1952v1 · doi: 10.48550/arxiv.1210.1952 · pith_short_12: GXVOOBIBJPUY · pith_short_16: GXVOOBIBJPUYXW7Y · pith_short_8: GXVOOBIB

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/GXVOOBIBJPUYXW7Y7QOBA6DSM5 \
  | 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: 35eae705014be98bdbf8fc1c10787267661dce63d8f494a70f0214c72387bfb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d50e767f80a16ac76a2707a05a243afa190c11686fd3b637ea0e9e2d16a7f37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-10-06T12:29:55Z",
    "title_canon_sha256": "5621280ec16781f57776c42a8d80a6856c4e18a6979860179a68a9e321c98251"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1952",
    "kind": "arxiv",
    "version": 1
  }
}