Pith Number

pith:6MSHC3C4

pith:2016:6MSHC3C4CBQ4G54ILUXHUJY57B

not attested not anchored not stored refs pending

Non-algebraic Examples of Manifolds with the Volume Density Property

Alexandre Ramos-Peon

arxiv:1602.07862 v1 · 2016-02-25 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6MSHC3C4CBQ4G54ILUXHUJY57B}

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	2026-05-18T01:19:58.399993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f324716c5c1061c377885d2e7a271df851ebbc138a841c638af17ab4337b2635

Aliases

arxiv: 1602.07862 · arxiv_version: 1602.07862v1 · doi: 10.48550/arxiv.1602.07862 · pith_short_12: 6MSHC3C4CBQ4 · pith_short_16: 6MSHC3C4CBQ4G54I · pith_short_8: 6MSHC3C4

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/6MSHC3C4CBQ4G54ILUXHUJY57B \
  | 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: f324716c5c1061c377885d2e7a271df851ebbc138a841c638af17ab4337b2635

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7ae9a852d780ac8613fca4976a6703f21d7ed8dc87934a31af8d1e28a63308b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-02-25T09:40:49Z",
    "title_canon_sha256": "f30ef6ab32add86503962deae20c5b5ff7571b90e6d22604f3bd444508b6dc9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07862",
    "kind": "arxiv",
    "version": 1
  }
}