Pith Number

pith:ZFZ46WIW

pith:2017:ZFZ46WIWBNM2CZAKZFPYYOVMTG

not attested not anchored not stored refs pending

On typicality of translation flows which are disjoint with their inverse

Krzysztof Fraczek, Przemyslaw Berk, Thierry de la Rue

arxiv:1703.09111 v1 · 2017-03-27 · 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{ZFZ46WIWBNM2CZAKZFPYYOVMTG}

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	2026-05-18T00:47:54.247279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c973cf59160b59a1640ac95f8c3aac998549b5c87d057c6fc768b6f8d18d8875

Aliases

arxiv: 1703.09111 · arxiv_version: 1703.09111v1 · doi: 10.48550/arxiv.1703.09111 · pith_short_12: ZFZ46WIWBNM2 · pith_short_16: ZFZ46WIWBNM2CZAK · pith_short_8: ZFZ46WIW

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/ZFZ46WIWBNM2CZAKZFPYYOVMTG \
  | 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: c973cf59160b59a1640ac95f8c3aac998549b5c87d057c6fc768b6f8d18d8875

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97272f5432d1d7b62e920fa44209a7056e93ddf8c317de1645883e7f898052ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-03-27T14:37:49Z",
    "title_canon_sha256": "505eaab82aafe2c53631a6effcc4805289c9816f72c31c61f21328c7e0ba2c95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.09111",
    "kind": "arxiv",
    "version": 1
  }
}