Pith Number

pith:HMDVGUDE

pith:2009:HMDVGUDE7TSR6QC6GMLMAYRLZI

not attested not anchored not stored refs pending

On the Jacobian of the harmonic moment map

Bj\"orn Gustafsson, Vladimir G. Tkachev

arxiv:0903.3471 v1 · 2009-03-20 · math.CV · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HMDVGUDE7TSR6QC6GMLMAYRLZI}

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	2026-05-18T00:18:05.587857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b07535064fce51f405e3316c0622bca2bacecf432a52fb663cf05bcca00d4fd

Aliases

arxiv: 0903.3471 · arxiv_version: 0903.3471v1 · doi: 10.48550/arxiv.0903.3471 · pith_short_12: HMDVGUDE7TSR · pith_short_16: HMDVGUDE7TSR6QC6 · pith_short_8: HMDVGUDE

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/HMDVGUDE7TSR6QC6GMLMAYRLZI \
  | 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: 3b07535064fce51f405e3316c0622bca2bacecf432a52fb663cf05bcca00d4fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49b982559818e84f9dfcfdf25bfe98d01425cb7ec1c7a79f2e8495dd8fb8539f",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2009-03-20T09:46:12Z",
    "title_canon_sha256": "7b71eeb600fafdd65f4119a67abf5e0acab621438b6f497d3aac8d7d2a79a06e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.3471",
    "kind": "arxiv",
    "version": 1
  }
}