Pith Number

pith:TYRM7VF2

pith:2017:TYRM7VF2LVJ5MUDDRAC2ZBNNOQ

not attested not anchored not stored refs pending

Bifurcations from the orbit of solutions of the Neumann problem

Anna Go{\l}\k{e}biewska, Joanna Kluczenko, Piotr Stefaniak

arxiv:1709.02586 v1 · 2017-09-08 · 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{TYRM7VF2LVJ5MUDDRAC2ZBNNOQ}

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	2026-05-18T00:35:45.318360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e22cfd4ba5d53d650638805ac85ad7416710de40645391602f913aad25c47c7

Aliases

arxiv: 1709.02586 · arxiv_version: 1709.02586v1 · doi: 10.48550/arxiv.1709.02586 · pith_short_12: TYRM7VF2LVJ5 · pith_short_16: TYRM7VF2LVJ5MUDD · pith_short_8: TYRM7VF2

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/TYRM7VF2LVJ5MUDDRAC2ZBNNOQ \
  | 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: 9e22cfd4ba5d53d650638805ac85ad7416710de40645391602f913aad25c47c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e85ce5201f949422903a495a4ec71be075b7280ab45f4176c5326b11923c771",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-08T08:34:16Z",
    "title_canon_sha256": "1b7b6178cb5a1ecc1380ea0eeb2676b20867dd54d776a843314661f9d593babb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02586",
    "kind": "arxiv",
    "version": 1
  }
}