Pith Number

pith:ATBPWMSL

pith:2018:ATBPWMSLXHUPEJNG64QKMEZAAU

not attested not anchored not stored refs pending

On open flat sets in spaces with bipolar comparison

Nina Lebedeva

arxiv:1807.02708 v2 · 2018-07-07 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ATBPWMSLXHUPEJNG64QKMEZAAU}

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	2026-05-18T00:08:53.836480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04c2fb324bb9e8f225a6f720a613200531b627256fb6f26b18a357a2082af196

Aliases

arxiv: 1807.02708 · arxiv_version: 1807.02708v2 · doi: 10.48550/arxiv.1807.02708 · pith_short_12: ATBPWMSLXHUP · pith_short_16: ATBPWMSLXHUPEJNG · pith_short_8: ATBPWMSL

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/ATBPWMSLXHUPEJNG64QKMEZAAU \
  | 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: 04c2fb324bb9e8f225a6f720a613200531b627256fb6f26b18a357a2082af196

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64e97fcfe49ce64e2d2bbb3691e325c22e7866b572739bc91bd04d70c0ac349a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-07-07T18:43:18Z",
    "title_canon_sha256": "e30dfa72927539723ddf3e8cff37d2f0c96c930570b0d17d4b401940968a26e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.02708",
    "kind": "arxiv",
    "version": 2
  }
}