Pith Number

pith:MQRZRDV4

pith:2010:MQRZRDV4M6UAP2LITLHZCMNZJI

not attested not anchored not stored refs pending

Embedding punctured n-manifolds in Euclidean (2n-1)-space

Dmitry Tonkonog

arxiv:1010.4271 v1 · 2010-10-20 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MQRZRDV4M6UAP2LITLHZCMNZJI}

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	2026-05-18T04:38:59.530169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6423988ebc67a807e9689acf9131b94a2a81e611addb042ea075b68253263614

Aliases

arxiv: 1010.4271 · arxiv_version: 1010.4271v1 · doi: 10.48550/arxiv.1010.4271 · pith_short_12: MQRZRDV4M6UA · pith_short_16: MQRZRDV4M6UAP2LI · pith_short_8: MQRZRDV4

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/MQRZRDV4M6UAP2LITLHZCMNZJI \
  | 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: 6423988ebc67a807e9689acf9131b94a2a81e611addb042ea075b68253263614

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7456f609abbaa690273664b18f44b30fd06b9e4b06dd80bf9340d696497f096",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-10-20T18:32:21Z",
    "title_canon_sha256": "32efef7e931ef2e19f37209d5167821dfaae27bf9323157a1dd89cfc7ef8a089"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4271",
    "kind": "arxiv",
    "version": 1
  }
}