Pith Number

pith:LVY2EQ4L

pith:2003:LVY2EQ4LEBYPW2DP2HAXYBK22W

not attested not anchored not stored refs pending

Bach-flat asymptotically locally Euclidean metrics

Gang Tian, Jeff Viaclovsky

arxiv:math/0310302 v3 · 2003-10-19 · math.DG · 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{LVY2EQ4LEBYPW2DP2HAXYBK22W}

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	2026-07-04T16:41:41.670349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d71a2438b2070fb686fd1c17c055ad5857bf2736cdeb1aa1976d659ff419d66

Aliases

arxiv: math/0310302 · arxiv_version: math/0310302v3 · doi: 10.48550/arxiv.math/0310302 · pith_short_12: LVY2EQ4LEBYP · pith_short_16: LVY2EQ4LEBYPW2DP · pith_short_8: LVY2EQ4L

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/LVY2EQ4LEBYPW2DP2HAXYBK22W \
  | 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: 5d71a2438b2070fb686fd1c17c055ad5857bf2736cdeb1aa1976d659ff419d66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95a10d1b09f0fc03ec7a3b6bfc2716a598a1c578bdcb3ab3dcb7bd67790102f9",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2003-10-19T19:56:35Z",
    "title_canon_sha256": "534bd691c2de59307be47cdc76f767d17170227a90d7f434d83ad1a35e884ca4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0310302",
    "kind": "arxiv",
    "version": 3
  }
}