Pith Number

pith:D4JASLUT

pith:2011:D4JASLUTXIT3JMFSHIECQ6W2IG

not attested not anchored not stored refs pending

Arrangements of Submanifolds and the Tangent Bundle Complement

Priyavrat Deshpande

arxiv:1110.1520 v3 · 2011-10-07 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D4JASLUTXIT3JMFSHIECQ6W2IG}

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	2026-05-18T03:21:10.755074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f12092e93ba27b4b0b23a08287ada41b3952b691b85509ab503d197424c3b27

Aliases

arxiv: 1110.1520 · arxiv_version: 1110.1520v3 · doi: 10.48550/arxiv.1110.1520 · pith_short_12: D4JASLUTXIT3 · pith_short_16: D4JASLUTXIT3JMFS · pith_short_8: D4JASLUT

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/D4JASLUTXIT3JMFSHIECQ6W2IG \
  | 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: 1f12092e93ba27b4b0b23a08287ada41b3952b691b85509ab503d197424c3b27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c90266d331f2d6645c48919f15fa798c4d3eb672ea141a9e43b8c5bf9fc4513d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-10-07T13:24:35Z",
    "title_canon_sha256": "ba8165e2ea472f090ce2f84bca06ce64deafce64d10db253ad103f5962bcca0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1520",
    "kind": "arxiv",
    "version": 3
  }
}