Pith Number

pith:MMTI6P2N

pith:2011:MMTI6P2NTOPUW2KIXS56CCVGAQ

not attested not anchored not stored refs pending

Exotic torus manifolds and equivariant smooth structures on quasitoric manifolds

Michael Wiemeler

arxiv:1110.1168 v2 · 2011-10-06 · 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{MMTI6P2NTOPUW2KIXS56CCVGAQ}

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	2026-05-18T03:26:08.986775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63268f3f4d9b9f4b6948bcbbe10aa60425e92eb82161543d05e4e56e98a0b6f7

Aliases

arxiv: 1110.1168 · arxiv_version: 1110.1168v2 · doi: 10.48550/arxiv.1110.1168 · pith_short_12: MMTI6P2NTOPU · pith_short_16: MMTI6P2NTOPUW2KI · pith_short_8: MMTI6P2N

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/MMTI6P2NTOPUW2KIXS56CCVGAQ \
  | 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: 63268f3f4d9b9f4b6948bcbbe10aa60425e92eb82161543d05e4e56e98a0b6f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09f2e1b15bb18f89f6d852dc59870241615a1ff276b3c6a7dc2a036230f4fee3",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-10-06T07:38:22Z",
    "title_canon_sha256": "cf16f2005763bb8813701940b1d0caca90f35fd412d7df6e3e622b3d61625809"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1168",
    "kind": "arxiv",
    "version": 2
  }
}