Pith Number

pith:KIR7CFBM

pith:2016:KIR7CFBMJXV5IV6JVJIAA6CG2O

not attested not anchored not stored refs pending

The Bolzano mean-value theorem and partial differential equations

Jakub Siemianowski, Wojciech Kryszewski

arxiv:1611.01627 v1 · 2016-11-05 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KIR7CFBMJXV5IV6JVJIAA6CG2O}

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	2026-05-18T01:00:04.836023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5223f1142c4debd457c9aa50007846d3832d41876d8ae00bffd4585f6a178623

Aliases

arxiv: 1611.01627 · arxiv_version: 1611.01627v1 · doi: 10.48550/arxiv.1611.01627 · pith_short_12: KIR7CFBMJXV5 · pith_short_16: KIR7CFBMJXV5IV6J · pith_short_8: KIR7CFBM

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/KIR7CFBMJXV5IV6JVJIAA6CG2O \
  | 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: 5223f1142c4debd457c9aa50007846d3832d41876d8ae00bffd4585f6a178623

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e87a6d7e149fec04f91e4715e8296986d2e0ffaab82c82da3756f3aa65e4841",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-05T10:50:16Z",
    "title_canon_sha256": "2b88a7865eb8e02c98eaed200c16991249f0289a58aba007dcfc7b1aad6f8dda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01627",
    "kind": "arxiv",
    "version": 1
  }
}