Pith Number

pith:4ESOFNTO

pith:2015:4ESOFNTOIIZRFGO2B65DLHCOBE

not attested not anchored not stored refs pending

On quartic forms associated with cubic transformations of the real plane

Ruslan Sharipov

arxiv:1508.03005 v1 · 2015-08-12 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ESOFNTOIIZRFGO2B65DLHCOBE}

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	2026-05-18T01:35:23.106865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e124e2b66e42331299da0fba359c4e09154a40c3a1fdee995fe1b40b66dca701

Aliases

arxiv: 1508.03005 · arxiv_version: 1508.03005v1 · doi: 10.48550/arxiv.1508.03005 · pith_short_12: 4ESOFNTOIIZR · pith_short_16: 4ESOFNTOIIZRFGO2 · pith_short_8: 4ESOFNTO

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/4ESOFNTOIIZRFGO2B65DLHCOBE \
  | 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: e124e2b66e42331299da0fba359c4e09154a40c3a1fdee995fe1b40b66dca701

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2ecced98c90fb595c69035f17bbfa8044f15a059c46a9b42983d5b3e0ab1c23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-08-12T17:20:46Z",
    "title_canon_sha256": "b5a3ed9b027b2a39a4a10ca3a4521fcf25aa0f01e321dd40f7ba3c28895fd181"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03005",
    "kind": "arxiv",
    "version": 1
  }
}