Pith Number

pith:2ODKHN3C

pith:2018:2ODKHN3C6WJZ7JDFETUHWATRTC

not attested not anchored not stored refs pending

Non-expansive bijections, uniformities and polyhedral faces

Carlos Angosto, Olesia Zavarzina, Vladimir Kadets

arxiv:1808.08534 v1 · 2018-08-26 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ODKHN3C6WJZ7JDFETUHWATRTC}

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	2026-05-18T00:07:16.161209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d386a3b762f5939fa46524e87b0271989b0e934c89a08d6e429e3d8e206e26ba

Aliases

arxiv: 1808.08534 · arxiv_version: 1808.08534v1 · doi: 10.48550/arxiv.1808.08534 · pith_short_12: 2ODKHN3C6WJZ · pith_short_16: 2ODKHN3C6WJZ7JDF · pith_short_8: 2ODKHN3C

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/2ODKHN3C6WJZ7JDFETUHWATRTC \
  | 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: d386a3b762f5939fa46524e87b0271989b0e934c89a08d6e429e3d8e206e26ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbaca810dcb295d0c790df0bccb50d9a56fea6bb1f8b54daa723ce6cf397d387",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-08-26T11:45:27Z",
    "title_canon_sha256": "3c70cde3e152d93ba5e0100e3651ee8780fe2f498be7d469efda2bf71f6f14b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.08534",
    "kind": "arxiv",
    "version": 1
  }
}