Pith Number

pith:F55RKUQJ

pith:2010:F55RKUQJAEBODLSCTUICEEQNIX

not attested not anchored not stored refs pending

Minimal decomposition of binary forms with respect to tangential projections

Alessandra Bernardi, Edoardo Ballico

arxiv:1007.2822 v2 · 2010-07-16 · 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{F55RKUQJAEBODLSCTUICEEQNIX}

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	2026-05-18T03:05:35.964789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f7b1552090102e1ae429d1022120d45e31c5843f3cdc58ec5a69d4c910f26b6

Aliases

arxiv: 1007.2822 · arxiv_version: 1007.2822v2 · doi: 10.48550/arxiv.1007.2822 · pith_short_12: F55RKUQJAEBO · pith_short_16: F55RKUQJAEBODLSC · pith_short_8: F55RKUQJ

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/F55RKUQJAEBODLSCTUICEEQNIX \
  | 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: 2f7b1552090102e1ae429d1022120d45e31c5843f3cdc58ec5a69d4c910f26b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d46bd42d530a22a6f63b1a76412ceeaf09b0c72d65af4cebfc407f71fc068854",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-07-16T17:59:50Z",
    "title_canon_sha256": "ff8550d8e850ab258d952d461f51ecff103ac79c23d9288fea51e7077151cd23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2822",
    "kind": "arxiv",
    "version": 2
  }
}