Pith Number

pith:4RM5L3ZE

pith:2013:4RM5L3ZEEXWZARPOIWJHLMYZ2T

not attested not anchored not stored refs pending

The Pythagoras number and the $u$-invariant of Laurent series fields in several variables

Yong Hu

arxiv:1303.1005 v5 · 2013-03-05 · 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{4RM5L3ZEEXWZARPOIWJHLMYZ2T}

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	2026-05-18T02:29:08.516307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e459d5ef2425ed9045ee459275b319d4e0c2460b2a382b3737687b3d30363fc0

Aliases

arxiv: 1303.1005 · arxiv_version: 1303.1005v5 · doi: 10.48550/arxiv.1303.1005 · pith_short_12: 4RM5L3ZEEXWZ · pith_short_16: 4RM5L3ZEEXWZARPO · pith_short_8: 4RM5L3ZE

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/4RM5L3ZEEXWZARPOIWJHLMYZ2T \
  | 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: e459d5ef2425ed9045ee459275b319d4e0c2460b2a382b3737687b3d30363fc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f1569aba48ad1df982c3e570f1834052ddf45f7418887c0aedb50eff06cc1c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-03-05T12:16:59Z",
    "title_canon_sha256": "0966911c108f9e075c807503ef8d105a385e91ed58be78123d08086ae5553541"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1005",
    "kind": "arxiv",
    "version": 5
  }
}