Pith Number

pith:UDNW33OD

pith:2008:UDNW33OD4HJZAJWUFD7BQP6BBD

not attested not anchored not stored refs pending

A Proof of Green's Conjecture Regarding the Removal Properties of Sets of Linear Equations

Asaf Shapira

arxiv:0807.4901 v2 · 2008-07-30 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UDNW33OD4HJZAJWUFD7BQP6BBD}

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	2026-05-18T02:58:11.283056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0db6dedc3e1d39026d428fe183fc108c74a0d0b8be08710a113b0ceb3c697b2

Aliases

arxiv: 0807.4901 · arxiv_version: 0807.4901v2 · doi: 10.48550/arxiv.0807.4901 · pith_short_12: UDNW33OD4HJZ · pith_short_16: UDNW33OD4HJZAJWU · pith_short_8: UDNW33OD

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/UDNW33OD4HJZAJWUFD7BQP6BBD \
  | 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: a0db6dedc3e1d39026d428fe183fc108c74a0d0b8be08710a113b0ceb3c697b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41074155c2edf85f968a1f0f16c124ddca5cdb85bb921d21c858da4616fe09eb",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-07-30T19:08:26Z",
    "title_canon_sha256": "1c16eabb7f6d193b3aa2ea853a376c60eddbed42af77baf0e16e508a14373886"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.4901",
    "kind": "arxiv",
    "version": 2
  }
}