Pith Number

pith:GUU4OU3X

pith:2007:GUU4OU3XAZB3AOQE56YNJA6D4N

not attested not anchored not stored refs pending

The open mapping theorem and the fundamental theorem of algebra

Daniel Reem

arxiv:0710.5648 v2 · 2007-10-30 · math.CV · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GUU4OU3XAZB3AOQE56YNJA6D4N}

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	2026-05-18T04:17:03.690403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3529c753770643b03a04efb0d483c3e360b96b36c14648c27e9e8c4db2d9a4e5

Aliases

arxiv: 0710.5648 · arxiv_version: 0710.5648v2 · doi: 10.48550/arxiv.0710.5648 · pith_short_12: GUU4OU3XAZB3 · pith_short_16: GUU4OU3XAZB3AOQE · pith_short_8: GUU4OU3X

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/GUU4OU3XAZB3AOQE56YNJA6D4N \
  | 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: 3529c753770643b03a04efb0d483c3e360b96b36c14648c27e9e8c4db2d9a4e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8c806100e49448b0451661745b35249e10c76a0add1698e3adfe2d5cd063dc8",
    "cross_cats_sorted": [
      "math.HO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2007-10-30T18:37:25Z",
    "title_canon_sha256": "0b2101abca0cc4da7a573baf534e10c6aa3406024a1a3067eeecef9619d1171d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.5648",
    "kind": "arxiv",
    "version": 2
  }
}