Pith Number

pith:RMJEC5DM

pith:2015:RMJEC5DM2NBUZ5IWCFJMG3R2OX

not attested not anchored not stored refs pending

Spiral orbits and oscillations in historical evolution of empires

Sergey S. Poghosyan, Taksu Cheon

arxiv:1512.07715 v2 · 2015-12-24 · physics.soc-ph · math.DS · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RMJEC5DM2NBUZ5IWCFJMG3R2OX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:56:38.073986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b1241746cd3434cf5161152c36e3a75f59afeedf8a029987da5a419d4118f25

Aliases

arxiv: 1512.07715 · arxiv_version: 1512.07715v2 · doi: 10.48550/arxiv.1512.07715 · pith_short_12: RMJEC5DM2NBU · pith_short_16: RMJEC5DM2NBUZ5IW · pith_short_8: RMJEC5DM

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/RMJEC5DM2NBUZ5IWCFJMG3R2OX \
  | 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: 8b1241746cd3434cf5161152c36e3a75f59afeedf8a029987da5a419d4118f25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66d21a4747566da203eeb33f7a9c9fb26217edb49902d77d3ed8498be1db0431",
    "cross_cats_sorted": [
      "math.DS",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2015-12-24T04:55:59Z",
    "title_canon_sha256": "f98c04672b7a1ef36b1eb7fadbafc6aec572b79373f1153b0548bcd4d7f3af72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07715",
    "kind": "arxiv",
    "version": 2
  }
}