Pith Number

pith:I47TYDP5

pith:2010:I47TYDP5VEKQKGLOUNNREZMNFR

not attested not anchored not stored refs pending

Another Proof of Oscar Rojo's Theorems

Hao Chen, J\"urgen Jost

arxiv:1011.3361 v1 · 2010-11-15 · math.CO · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I47TYDP5VEKQKGLOUNNREZMNFR}

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	2026-05-18T04:35:56.054167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

473f3c0dfda91505196ea35b12658d2c5da0350276d3b2db85494acc1e978375

Aliases

arxiv: 1011.3361 · arxiv_version: 1011.3361v1 · doi: 10.48550/arxiv.1011.3361 · pith_short_12: I47TYDP5VEKQ · pith_short_16: I47TYDP5VEKQKGLO · pith_short_8: I47TYDP5

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/I47TYDP5VEKQKGLOUNNREZMNFR \
  | 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: 473f3c0dfda91505196ea35b12658d2c5da0350276d3b2db85494acc1e978375

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dc3b2be25b652a84f252c07a3b9b7acc3e33f91b63cb3a876307599bd501be9",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-11-15T12:36:28Z",
    "title_canon_sha256": "38c6b07a3b704d8588fbeda7e35e3b4053b9d9c56f231babee3b6c902cec5306"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3361",
    "kind": "arxiv",
    "version": 1
  }
}