Pith Number

pith:72LXL6JN

pith:2010:72LXL6JN2DTLYN66PVLIJBJZU7

not attested not anchored not stored refs pending

Jet schemes of complex plane branches and equisingularity

Hussein Mourtada

arxiv:1009.5845 v1 · 2010-09-29 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72LXL6JN2DTLYN66PVLIJBJZU7}

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	2026-05-18T00:54:42.140542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe9775f92dd0e6bc37de7d56848539a7f068a977c3606cf752ae1b6f54469ff1

Aliases

arxiv: 1009.5845 · arxiv_version: 1009.5845v1 · doi: 10.48550/arxiv.1009.5845 · pith_short_12: 72LXL6JN2DTL · pith_short_16: 72LXL6JN2DTLYN66 · pith_short_8: 72LXL6JN

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/72LXL6JN2DTLYN66PVLIJBJZU7 \
  | 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: fe9775f92dd0e6bc37de7d56848539a7f068a977c3606cf752ae1b6f54469ff1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be6687b869bee5afcdb96c89bfb59a31592ce5f709c7ef52b1dd9a43c5f635b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-09-29T11:17:05Z",
    "title_canon_sha256": "8d97bb08b69192b2d9d11450fb8932d8f7c6b866de81c8908fe828f246dbd4e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5845",
    "kind": "arxiv",
    "version": 1
  }
}