Pith Number

pith:SW5RO3I5

pith:2012:SW5RO3I52PIPAUDLQF7W6AUVRE

not attested not anchored not stored refs pending

Rational functions with identical measure of maximal entropy

Hexi Ye

arxiv:1211.4303 v3 · 2012-11-19 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SW5RO3I52PIPAUDLQF7W6AUVRE}

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	2026-05-18T02:41:58.447328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95bb176d1dd3d0f0506b817f6f02958921b95a5f2a508aaf03a1663fd539a84b

Aliases

arxiv: 1211.4303 · arxiv_version: 1211.4303v3 · doi: 10.48550/arxiv.1211.4303 · pith_short_12: SW5RO3I52PIP · pith_short_16: SW5RO3I52PIPAUDL · pith_short_8: SW5RO3I5

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/SW5RO3I52PIPAUDLQF7W6AUVRE \
  | 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: 95bb176d1dd3d0f0506b817f6f02958921b95a5f2a508aaf03a1663fd539a84b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "549e43a07776da70f986d65abbed714c233aae38da4e160ba4c31b8f787d6fc2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-11-19T05:07:26Z",
    "title_canon_sha256": "4a4f6e9c27c16a654d121aa559334f294d80b99cd6aacc85d774ada4ac17ea7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4303",
    "kind": "arxiv",
    "version": 3
  }
}