Pith Number

pith:3FHMFQOG

pith:2007:3FHMFQOGA2L35DDV6AZR7DMKG2

not attested not anchored not stored refs pending

Logarithmic limit sets of real semi-algebraic sets

Daniele Alessandrini

arxiv:0707.0845 v2 · 2007-07-05 · 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{3FHMFQOGA2L35DDV6AZR7DMKG2}

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	2026-05-18T00:05:09.990065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d94ec2c1c60697be8c75f0331f8d8a36b7ce9eb9444fba1ae7aed6f8bc5c206a

Aliases

arxiv: 0707.0845 · arxiv_version: 0707.0845v2 · doi: 10.48550/arxiv.0707.0845 · pith_short_12: 3FHMFQOGA2L3 · pith_short_16: 3FHMFQOGA2L35DDV · pith_short_8: 3FHMFQOG

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/3FHMFQOGA2L35DDV6AZR7DMKG2 \
  | 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: d94ec2c1c60697be8c75f0331f8d8a36b7ce9eb9444fba1ae7aed6f8bc5c206a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e78539493516272266049da63c334eb3775e826c78ef571324cf1ace97d90c7f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-07-05T18:01:04Z",
    "title_canon_sha256": "469de84a42e7bcc3e22c92b92e4217e05b9d4a44d0d0d8d224277052932d40ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.0845",
    "kind": "arxiv",
    "version": 2
  }
}