Pith Number

pith:KLQ5CTFJ

pith:2010:KLQ5CTFJJQP7BTQP2FRDPDE3GT

not attested not anchored not stored refs pending

Interiors of sets of vector fields with shadowing corresponding to certain classes of reparameterizations

Sergey Tikhomirov

arxiv:1010.2768 v1 · 2010-10-13 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KLQ5CTFJJQP7BTQP2FRDPDE3GT}

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	2026-05-18T04:39:19.211249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52e1d14ca94c1ff0ce0fd162378c9b34ceee22f06b98cd2ec86c79e786c4c8fb

Aliases

arxiv: 1010.2768 · arxiv_version: 1010.2768v1 · doi: 10.48550/arxiv.1010.2768 · pith_short_12: KLQ5CTFJJQP7 · pith_short_16: KLQ5CTFJJQP7BTQP · pith_short_8: KLQ5CTFJ

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/KLQ5CTFJJQP7BTQP2FRDPDE3GT \
  | 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: 52e1d14ca94c1ff0ce0fd162378c9b34ceee22f06b98cd2ec86c79e786c4c8fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a34fb07b00f83a824244e8cc7b924e1049aa3caf3b17aae8670b39f61cfafe8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-10-13T20:35:23Z",
    "title_canon_sha256": "458c596642e00a4a97319630458b083e5ab61c18e560015864d0d0e3a4834638"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2768",
    "kind": "arxiv",
    "version": 1
  }
}