Pith Number

pith:7OSU536F

pith:2009:7OSU536FMUDNPSP5SJLT5BEYFB

not attested not anchored not stored refs pending

On the Jacobian of minimal graphs in R^4

A. Savas-Halilaj, Th. Hasanis, Th. Vlachos

arxiv:0910.4634 v1 · 2009-10-24 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7OSU536FMUDNPSP5SJLT5BEYFB}

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	2026-05-18T02:58:02.675194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fba54eefc56506d7c9fd92573e8498287af2ab4095d35b6cd4b4a84635278e07

Aliases

arxiv: 0910.4634 · arxiv_version: 0910.4634v1 · doi: 10.48550/arxiv.0910.4634 · pith_short_12: 7OSU536FMUDN · pith_short_16: 7OSU536FMUDNPSP5 · pith_short_8: 7OSU536F

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/7OSU536FMUDNPSP5SJLT5BEYFB \
  | 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: fba54eefc56506d7c9fd92573e8498287af2ab4095d35b6cd4b4a84635278e07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1533e859c45573a7a4ee7c11c4113b72aa5cd6aae152a0b7d62a8cc534caed9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-10-24T08:30:15Z",
    "title_canon_sha256": "023ff5396bf9505ee5230129b3205f636561a8e9abc5c8838f3c163f10e2b69e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.4634",
    "kind": "arxiv",
    "version": 1
  }
}