Pith Number

pith:FDRX3LEA

pith:2018:FDRX3LEA2FUH5EQEERZPGR3E53

not attested not anchored not stored refs pending

Global secondary bifurcation, symmetry breaking and period-doubling

Rainer Mandel

arxiv:1803.04903 v1 · 2018-03-13 · math.FA · 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{FDRX3LEA2FUH5EQEERZPGR3E53}

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	2026-05-18T00:21:15.482142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28e37dac80d1687e92042472f34764eeed44737ce4a44beda4e47b5ba0f7a39a

Aliases

arxiv: 1803.04903 · arxiv_version: 1803.04903v1 · doi: 10.48550/arxiv.1803.04903 · pith_short_12: FDRX3LEA2FUH · pith_short_16: FDRX3LEA2FUH5EQE · pith_short_8: FDRX3LEA

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/FDRX3LEA2FUH5EQEERZPGR3E53 \
  | 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: 28e37dac80d1687e92042472f34764eeed44737ce4a44beda4e47b5ba0f7a39a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01bacaea2f89ca360a4d02da156fcdccd60d7eb230409c746ae971fe81c24f38",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-03-13T15:57:01Z",
    "title_canon_sha256": "e19cb279d521e1b51fd2f729673468e0bbf2cafbb5609279333bc0bcd62ea38c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.04903",
    "kind": "arxiv",
    "version": 1
  }
}