Pith Number

pith:BGT3MPUU

pith:2011:BGT3MPUUSJ6ZXHPX2GN7PGVMHN

not attested not anchored not stored refs pending

Discrete-Time Goldfishing

Francesco Calogero

arxiv:1108.4492 v1 · 2011-08-23 · nlin.SI · 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{BGT3MPUUSJ6ZXHPX2GN7PGVMHN}

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	2026-05-18T04:14:54.457022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09a7b63e94927d9b9df7d19bf79aac3b4abdfa733813f5c671620628f8b21e74

Aliases

arxiv: 1108.4492 · arxiv_version: 1108.4492v1 · doi: 10.48550/arxiv.1108.4492 · pith_short_12: BGT3MPUUSJ6Z · pith_short_16: BGT3MPUUSJ6ZXHPX · pith_short_8: BGT3MPUU

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/BGT3MPUUSJ6ZXHPX2GN7PGVMHN \
  | 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: 09a7b63e94927d9b9df7d19bf79aac3b4abdfa733813f5c671620628f8b21e74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "245d96183cd8c1ecb7325fdc2bd8fbcd0a4bbc2ba95baabe20ad88d5ec510f00",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2011-08-23T04:53:31Z",
    "title_canon_sha256": "4e7fbaaaeac4fbd4b79303ff2f4fdd58a69231933d7c12992e7955e9194d5eb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4492",
    "kind": "arxiv",
    "version": 1
  }
}