Pith Number

pith:OAQFKICH

pith:2016:OAQFKICHA4DVAFWZNI6GZWIBYU

not attested not anchored not stored refs pending

Relative dynamical degrees of correspondences over a field of arbitrary characteristic

Tuyen Trung Truong

arxiv:1605.05049 v2 · 2016-05-17 · math.AG · 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{OAQFKICHA4DVAFWZNI6GZWIBYU}

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	2026-05-18T00:28:38.152738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

702055204707075016d96a3c6cd901c532b1fcbd057e867584c1d686195173ad

Aliases

arxiv: 1605.05049 · arxiv_version: 1605.05049v2 · doi: 10.48550/arxiv.1605.05049 · pith_short_12: OAQFKICHA4DV · pith_short_16: OAQFKICHA4DVAFWZ · pith_short_8: OAQFKICH

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/OAQFKICHA4DVAFWZNI6GZWIBYU \
  | 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: 702055204707075016d96a3c6cd901c532b1fcbd057e867584c1d686195173ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6bc4e1c711e73f8150d4805cc9f6d6ec844f71e6bb7f40470a21daa99f6acdb",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-05-17T07:57:57Z",
    "title_canon_sha256": "f5daaaaab55668f4dd4a547dd59009de1a80f1b89a3bb6f6f43a7808dca88bb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05049",
    "kind": "arxiv",
    "version": 2
  }
}