Pith Number

pith:F7KTZPEB

pith:2019:F7KTZPEBGHH5OT7C7T5EUW7IM5

not attested not anchored not stored refs pending

Lectures on Differential Topology

Riccardo Benedetti

arxiv:1907.10297 v1 · 2019-07-24 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F7KTZPEBGHH5OT7C7T5EUW7IM5}

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	2026-05-17T23:39:38.339626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fd53cbc8131cfd74fe2fcfa4a5be8676913bd0b445870c2a6a5340e5b53f0ad

Aliases

arxiv: 1907.10297 · arxiv_version: 1907.10297v1 · doi: 10.48550/arxiv.1907.10297 · pith_short_12: F7KTZPEBGHH5 · pith_short_16: F7KTZPEBGHH5OT7C · pith_short_8: F7KTZPEB

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/F7KTZPEBGHH5OT7C7T5EUW7IM5 \
  | 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: 2fd53cbc8131cfd74fe2fcfa4a5be8676913bd0b445870c2a6a5340e5b53f0ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "976bb647b86b2c3b28743fb051d8f685489f3b52c92e4d6c5ffc5c9d862c4b17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-07-24T08:32:59Z",
    "title_canon_sha256": "e90fcc9c88a3b048cf02196f444691ff0bc98a396d822afb210b7632cc7dea72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.10297",
    "kind": "arxiv",
    "version": 1
  }
}