Pith Number

pith:3RJITUKM

pith:2018:3RJITUKMPHCMTXHLND4KPBRFHZ

not attested not anchored not stored refs pending

Global bifurcation index of critical orbit of strongly indefinite functional

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

arxiv:1809.09950 v1 · 2018-09-26 · 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{3RJITUKMPHCMTXHLND4KPBRFHZ}

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	2026-05-18T00:04:43.143441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc5289d14c79c4c9dceb68f8a786253e759fefb26b73d4b134cb6539db5697ab

Aliases

arxiv: 1809.09950 · arxiv_version: 1809.09950v1 · doi: 10.48550/arxiv.1809.09950 · pith_short_12: 3RJITUKMPHCM · pith_short_16: 3RJITUKMPHCMTXHL · pith_short_8: 3RJITUKM

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/3RJITUKMPHCMTXHLND4KPBRFHZ \
  | 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: dc5289d14c79c4c9dceb68f8a786253e759fefb26b73d4b134cb6539db5697ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d5a68ed9a989f22775c6f962ae60cc0f8d226584c3d364be41d7afea1caef40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-09-26T13:02:26Z",
    "title_canon_sha256": "f1730d4c6010dcb11bd667d5d448cbf865591d0c68fae4da0a207bf438623038"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09950",
    "kind": "arxiv",
    "version": 1
  }
}