Pith Number

pith:VDRA7WYK

pith:2015:VDRA7WYKCXTFL5W6NBQAGRTM3P

not attested not anchored not stored refs pending

Remarks on asymptotic power dimension

Jacek Kucab, Michael Zarichnyi

arxiv:1512.07739 v1 · 2015-12-24 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VDRA7WYKCXTFL5W6NBQAGRTM3P}

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	2026-05-18T01:23:47.973996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8e20fdb0a15e655f6de686003466cdbdeaf6a07aad25302229aabc5eb4726c9

Aliases

arxiv: 1512.07739 · arxiv_version: 1512.07739v1 · doi: 10.48550/arxiv.1512.07739 · pith_short_12: VDRA7WYKCXTF · pith_short_16: VDRA7WYKCXTFL5W6 · pith_short_8: VDRA7WYK

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/VDRA7WYKCXTFL5W6NBQAGRTM3P \
  | 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: a8e20fdb0a15e655f6de686003466cdbdeaf6a07aad25302229aabc5eb4726c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "901a0b2832c25dd08aa62741c64988ee28aa113703f7920bc170eb3820a5e5fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2015-12-24T07:40:04Z",
    "title_canon_sha256": "7797c514bbf0479cffdcaa6c657546624c6f2af841203cdb5207b740c0274e0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07739",
    "kind": "arxiv",
    "version": 1
  }
}