Pith Number

pith:MZ5H3FZA

pith:2012:MZ5H3FZAD3VPOQEHWP4RLFTG2M

not attested not anchored not stored refs pending

Invariants of Montesinos Twins

Adam C. Knapp

arxiv:1212.1147 v1 · 2012-12-05 · math.GT · 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{MZ5H3FZAD3VPOQEHWP4RLFTG2M}

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	2026-05-18T03:39:05.692749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

667a7d97201eeaf74087b3f9159666d312a1aa4a1c405fb9b09bd346ea800e7a

Aliases

arxiv: 1212.1147 · arxiv_version: 1212.1147v1 · doi: 10.48550/arxiv.1212.1147 · pith_short_12: MZ5H3FZAD3VP · pith_short_16: MZ5H3FZAD3VPOQEH · pith_short_8: MZ5H3FZA

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/MZ5H3FZAD3VPOQEHWP4RLFTG2M \
  | 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: 667a7d97201eeaf74087b3f9159666d312a1aa4a1c405fb9b09bd346ea800e7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af79552642b5d91353acec822f66df060d162402243db7bd96a3357c674e1132",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-12-05T20:16:31Z",
    "title_canon_sha256": "1f0abc1ec857525600a706561021f85c3913b65a012b43707844950d06f98b7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1147",
    "kind": "arxiv",
    "version": 1
  }
}