Pith Number

pith:I7RK5YJ4

pith:2016:I7RK5YJ4OUR7AYDRQFFETKYAS7

not attested not anchored not stored refs pending

Fundamental theorem of Algebra - A Nevanlinna theoretic proof

Bikash Chakraborty

arxiv:1612.02727 v2 · 2016-12-08 · 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{I7RK5YJ4OUR7AYDRQFFETKYAS7}

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	2026-05-18T00:38:39.821506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47e2aee13c7523f06071814a49ab0097f420f191bbfca2eb0961b653f6f09a59

Aliases

arxiv: 1612.02727 · arxiv_version: 1612.02727v2 · doi: 10.48550/arxiv.1612.02727 · pith_short_12: I7RK5YJ4OUR7 · pith_short_16: I7RK5YJ4OUR7AYDR · pith_short_8: I7RK5YJ4

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/I7RK5YJ4OUR7AYDRQFFETKYAS7 \
  | 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: 47e2aee13c7523f06071814a49ab0097f420f191bbfca2eb0961b653f6f09a59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73af55d021b5bd744d006eee96fbd058e69014deaa2bd8698ac5b76e38d9b216",
    "cross_cats_sorted": [
      "math.HO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-12-08T16:57:31Z",
    "title_canon_sha256": "66061e9c6b8f0d792997cd50b38198fe43a02e8fa2191d3a0d0db5ef95c739d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02727",
    "kind": "arxiv",
    "version": 2
  }
}