Pith Number

pith:B5ITJAVN

pith:2016:B5ITJAVNC4KCH4WMS7TTWWB43E

not attested not anchored not stored refs pending

Algebraic dynamics of the lifts of Frobenius

Junyi Xie

arxiv:1602.04253 v3 · 2016-02-12 · math.DS · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B5ITJAVNC4KCH4WMS7TTWWB43E}

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	2026-05-18T00:01:32.408888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f513482ad171423f2cc97e73b583cd92ef38a9903737d323e45f41313a0861e

Aliases

arxiv: 1602.04253 · arxiv_version: 1602.04253v3 · doi: 10.48550/arxiv.1602.04253 · pith_short_12: B5ITJAVNC4KC · pith_short_16: B5ITJAVNC4KCH4WM · pith_short_8: B5ITJAVN

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/B5ITJAVNC4KCH4WMS7TTWWB43E \
  | 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: 0f513482ad171423f2cc97e73b583cd92ef38a9903737d323e45f41313a0861e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "965db79bb6ea62e12bc0ad84509a3bfd8025693ae60e32fa579fc9e381e7e885",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-02-12T22:28:11Z",
    "title_canon_sha256": "36666145b648dfb4a4853b203f28f3612800758674d5877e476a15951180b406"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04253",
    "kind": "arxiv",
    "version": 3
  }
}