Pith Number

pith:OUTVIBT4

pith:2011:OUTVIBT4MF7VFDFAZRFLU5WQEA

not attested not anchored not stored refs pending

On the cobordism groups of cooriented, codimension one Morin maps

Andr\'as Sz\H{u}cs

arxiv:1108.2168 v1 · 2011-08-10 · 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{OUTVIBT4MF7VFDFAZRFLU5WQEA}

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	2026-05-18T04:15:49.206595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

752754067c617f528ca0cc4aba76d020117dee94cfa38f382c2ace0457df1461

Aliases

arxiv: 1108.2168 · arxiv_version: 1108.2168v1 · doi: 10.48550/arxiv.1108.2168 · pith_short_12: OUTVIBT4MF7V · pith_short_16: OUTVIBT4MF7VFDFA · pith_short_8: OUTVIBT4

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/OUTVIBT4MF7VFDFAZRFLU5WQEA \
  | 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: 752754067c617f528ca0cc4aba76d020117dee94cfa38f382c2ace0457df1461

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe4e05ef7da206a0ebe126cd3bd1563fa627ef726ecc933be27f0efef02a3c75",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-08-10T12:59:18Z",
    "title_canon_sha256": "475cafa981dc6705c09801e6185259ff8f16c94539e9e5e029a93f663a654f53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2168",
    "kind": "arxiv",
    "version": 1
  }
}