Pith Number

pith:24TDJAFW

pith:2007:24TDJAFWWG5ESSXHIAJWSOEK5G

not attested not anchored not stored refs pending

Beltrami operators, non--symmetric elliptic equations and quantitative Jacobian bounds

Giovanni Alessandrini, Vincenzo Nesi

arxiv:0707.0727 v1 · 2007-07-05 · 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{24TDJAFWWG5ESSXHIAJWSOEK5G}

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	2026-05-18T04:36:50.587770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7263480b6b1ba494ae7401369388ae987a5318d4def4c3a0a3027ec916d9c8f

Aliases

arxiv: 0707.0727 · arxiv_version: 0707.0727v1 · doi: 10.48550/arxiv.0707.0727 · pith_short_12: 24TDJAFWWG5E · pith_short_16: 24TDJAFWWG5ESSXH · pith_short_8: 24TDJAFW

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/24TDJAFWWG5ESSXHIAJWSOEK5G \
  | 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: d7263480b6b1ba494ae7401369388ae987a5318d4def4c3a0a3027ec916d9c8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1e20cb078d940e53d8f8e42c870a03fbdc0bc45db896fe63cd9e1ce85b51081",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-07-05T07:50:37Z",
    "title_canon_sha256": "dcd353130d748fab3a8a153b79a3156edf957306bdb50d922dd654e810632a1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.0727",
    "kind": "arxiv",
    "version": 1
  }
}