Pith Number

pith:4PJREMLX

pith:2012:4PJREMLX7IKUVFNXGMZ5RHJPEP

not attested not anchored not stored refs pending

Global periodicity conditions for maps and recurrences via Normal Forms

Anna Cima, Armengol Gasull, V\'ictor Ma\~nosa

arxiv:1205.0923 v1 · 2012-05-04 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4PJREMLX7IKUVFNXGMZ5RHJPEP}

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	2026-05-18T02:26:53.175985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3d3123177fa154a95b73333d89d2f23e028a5f7fec7899afd373d1b5e989aed

Aliases

arxiv: 1205.0923 · arxiv_version: 1205.0923v1 · doi: 10.48550/arxiv.1205.0923 · pith_short_12: 4PJREMLX7IKU · pith_short_16: 4PJREMLX7IKUVFNX · pith_short_8: 4PJREMLX

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/4PJREMLX7IKUVFNXGMZ5RHJPEP \
  | 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: e3d3123177fa154a95b73333d89d2f23e028a5f7fec7899afd373d1b5e989aed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84efdbb83e20052ea504a964c190d066fafadef6b2b92b778002131903eaf85e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-05-04T11:29:12Z",
    "title_canon_sha256": "c7359bd44400cb0089e67682edd01b13e3568ce60482abf483c16a5e9b4ad06e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0923",
    "kind": "arxiv",
    "version": 1
  }
}