Pith Number

pith:DDCAQR7H

pith:2014:DDCAQR7HRBILZKCGP25ZFUZXZD

not attested not anchored not stored refs pending

On the openness and discreteness of the mappings satisfying one inequality with respect to $p$-modulus

Evgeny Sevost'yanov

arxiv:1412.6539 v3 · 2014-12-19 · 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{DDCAQR7HRBILZKCGP25ZFUZXZD}

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	2026-05-18T02:30:07.601907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18c40847e78850bca8467ebb92d337c8dd635b6d968368028ccaeccf8042343e

Aliases

arxiv: 1412.6539 · arxiv_version: 1412.6539v3 · doi: 10.48550/arxiv.1412.6539 · pith_short_12: DDCAQR7HRBIL · pith_short_16: DDCAQR7HRBILZKCG · pith_short_8: DDCAQR7H

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/DDCAQR7HRBILZKCGP25ZFUZXZD \
  | 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: 18c40847e78850bca8467ebb92d337c8dd635b6d968368028ccaeccf8042343e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4046a85e5335436bb634ed693de8ef5ae9cae44a770564966e230499ba6efde9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-12-19T21:34:40Z",
    "title_canon_sha256": "26e5924095473601a45e21bcb0900f9e46b959a036b86f94ca3dea483e375e7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6539",
    "kind": "arxiv",
    "version": 3
  }
}