Pith Number

pith:HHJWA4JP

pith:2007:HHJWA4JP7JGCCFLQ54DUVKPSKK

not attested not anchored not stored refs pending

Erlangen Program at Large--2: Inventing a wheel. The parabolic one

Vladimir V. Kisil

arxiv:0707.4024 v1 · 2007-07-27 · math.GM · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HHJWA4JP7JGCCFLQ54DUVKPSKK}

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	2026-05-18T04:34:54.499059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39d360712ffa4c211570ef074aa9f25285ee6862c0e3e29d73f8efc9bcb7e989

Aliases

arxiv: 0707.4024 · arxiv_version: 0707.4024v1 · doi: 10.48550/arxiv.0707.4024 · pith_short_12: HHJWA4JP7JGC · pith_short_16: HHJWA4JP7JGCCFLQ · pith_short_8: HHJWA4JP

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/HHJWA4JP7JGCCFLQ54DUVKPSKK \
  | 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: 39d360712ffa4c211570ef074aa9f25285ee6862c0e3e29d73f8efc9bcb7e989

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfd89603609541a1fdcea34061a8b182cf6e5bf74548abc397aa9ba81c530eba",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.GM",
    "submitted_at": "2007-07-27T11:42:15Z",
    "title_canon_sha256": "32c63c1dfa69f16834032ffdf3c7917964f60f6ec88145d5c720d7d8bb26f7a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.4024",
    "kind": "arxiv",
    "version": 1
  }
}