Pith Number

pith:FN6M2BNE

pith:2000:FN6M2BNEH7HLKXDSSUIXVQL4VI

not attested not anchored not stored refs pending

Global regularity of wave maps I. Small critical Sobolev norm in high dimension

Terence Tao

arxiv:math/0010068 v3 · 2000-10-07 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FN6M2BNEH7HLKXDSSUIXVQL4VI}

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.

Cited by

1 paper in Pith

Using Large Language Models to Study Mathematical Practice

Receipt and verification

First computed	2026-07-04T14:34:51.267869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b7ccd05a43fceb55c7295117ac17caa17a495fc1415b155039833ab7a137873

Aliases

arxiv: math/0010068 · arxiv_version: math/0010068v3 · doi: 10.48550/arxiv.math/0010068 · pith_short_12: FN6M2BNEH7HL · pith_short_16: FN6M2BNEH7HLKXDS · pith_short_8: FN6M2BNE

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/FN6M2BNEH7HLKXDSSUIXVQL4VI \
  | 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: 2b7ccd05a43fceb55c7295117ac17caa17a495fc1415b155039833ab7a137873

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81bb734f727381a9ec9741b1b01d09ff88a209cf33512aa2b24f5fe2036f7e01",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2000-10-07T03:11:59Z",
    "title_canon_sha256": "56409cc4393c51e2f20cb99c48dc16b3b54813484c89f6a3934f7c28cd91bbe6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0010068",
    "kind": "arxiv",
    "version": 3
  }
}