Pith Number

pith:MD4NUMY2

pith:2016:MD4NUMY2YOPZTYCGCPPO7B533M

not attested not anchored not stored refs pending

Spin structures of flat manifolds of diagonal type

Andrzej Szczepa\'nski, Jerzy Popko, Nansen Petrosyan, Rafa{\l} Lutowski

arxiv:1602.08585 v1 · 2016-02-27 · math.AT · 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{MD4NUMY2YOPZTYCGCPPO7B533M}

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	2026-05-17T23:45:00.453474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60f8da331ac39f99e04613deef87bbdb3cd5b4b2b2f4dc6cd9578f9d98f4faa1

Aliases

arxiv: 1602.08585 · arxiv_version: 1602.08585v1 · doi: 10.48550/arxiv.1602.08585 · pith_short_12: MD4NUMY2YOPZ · pith_short_16: MD4NUMY2YOPZTYCG · pith_short_8: MD4NUMY2

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/MD4NUMY2YOPZTYCGCPPO7B533M \
  | 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: 60f8da331ac39f99e04613deef87bbdb3cd5b4b2b2f4dc6cd9578f9d98f4faa1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c62e3c48d4cc9061d0e3ed0c8490811cf1141e7b55242f25060f2fa6bb84c83e",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-02-27T12:43:08Z",
    "title_canon_sha256": "349661ddac0faf7301be0072f99bcfce349acc7b50b29cd2b88d1bfd1c072164"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08585",
    "kind": "arxiv",
    "version": 1
  }
}