Pith Number

pith:NOM6LV63

pith:2017:NOM6LV63FWTKNBET2IXI3TZV6E

not attested not anchored not stored refs pending

On the Markus-Neumann theorem

Jos\'e Gin\'es Esp\'in Buend\'ia, V\'ictor Jim\'enez Lop\'ez

arxiv:1707.05504 v1 · 2017-07-18 · 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{NOM6LV63FWTKNBET2IXI3TZV6E}

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	2026-05-18T00:40:02.159735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b99e5d7db2da6a68493d22e8dcf35f10c96b72c5b2ec913e18cca7e29963db2

Aliases

arxiv: 1707.05504 · arxiv_version: 1707.05504v1 · doi: 10.48550/arxiv.1707.05504 · pith_short_12: NOM6LV63FWTK · pith_short_16: NOM6LV63FWTKNBET · pith_short_8: NOM6LV63

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/NOM6LV63FWTKNBET2IXI3TZV6E \
  | 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: 6b99e5d7db2da6a68493d22e8dcf35f10c96b72c5b2ec913e18cca7e29963db2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "250db27dff171abb97abfafb39a0cf6cd033050a3d51ef48882ea25d50c20268",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-07-18T07:12:28Z",
    "title_canon_sha256": "b2bf27b9ef954d0d38e446536edba81e6195dd18e6e2e7f4c7337514785992a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05504",
    "kind": "arxiv",
    "version": 1
  }
}