Pith Number

pith:VNLC4ORN

pith:2017:VNLC4ORNBL374YTSKFBEIR6GSO

not attested not anchored not stored refs pending

Poincar\'e's lemma on some non-Euclidean structures

Alexandru Krist\'aly

arxiv:1709.07245 v2 · 2017-09-21 · math.AP · 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{VNLC4ORNBL374YTSKFBEIR6GSO}

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	2026-05-18T00:32:33.743695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab562e3a2d0af7fe627251424447c693b08c92dc1ad2a16aeeb64d455df016e5

Aliases

arxiv: 1709.07245 · arxiv_version: 1709.07245v2 · doi: 10.48550/arxiv.1709.07245 · pith_short_12: VNLC4ORNBL37 · pith_short_16: VNLC4ORNBL374YTS · pith_short_8: VNLC4ORN

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/VNLC4ORNBL374YTSKFBEIR6GSO \
  | 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: ab562e3a2d0af7fe627251424447c693b08c92dc1ad2a16aeeb64d455df016e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3618ec90bfe6ed59bf8fd90b7c64209da686eb9d803b792ed666d5dbd81d7a36",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-21T10:13:35Z",
    "title_canon_sha256": "a6e37881dd0d10663fa4cb59f1c432d0735c5bd99f66a8780a291a8ff4a8b227"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.07245",
    "kind": "arxiv",
    "version": 2
  }
}