Pith Number

pith:2KC6VO3Z

pith:2016:2KC6VO3ZJHNVM6OMK53TQDSG5H

not attested not anchored not stored refs pending

Properties of compact center-stable submanifolds

Andy Hammerlindl

arxiv:1612.03535 v1 · 2016-12-12 · 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{2KC6VO3ZJHNVM6OMK53TQDSG5H}

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	2026-05-18T00:55:19.027984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d285eabb7949db5679cc5777380e46e9de4d5db169af485d51497b3170ad3445

Aliases

arxiv: 1612.03535 · arxiv_version: 1612.03535v1 · doi: 10.48550/arxiv.1612.03535 · pith_short_12: 2KC6VO3ZJHNV · pith_short_16: 2KC6VO3ZJHNVM6OM · pith_short_8: 2KC6VO3Z

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/2KC6VO3ZJHNVM6OMK53TQDSG5H \
  | 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: d285eabb7949db5679cc5777380e46e9de4d5db169af485d51497b3170ad3445

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5901a783ff36a63a6ece14be60bc7c9cf7aa184fac507a4ea2931857f21ced95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-12-12T03:48:21Z",
    "title_canon_sha256": "ff6feb8c27f2bafc7198c7ad5550c1b25e540a61861cc47daade027e885e2f82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03535",
    "kind": "arxiv",
    "version": 1
  }
}