Pith Number

pith:GPQCVDVW

pith:2015:GPQCVDVWSWBKHYPPQFMOS3OTC5

not attested not anchored not stored refs pending

High-Dimensional Topological Field Theory, Positivity, and Exotic Smooth Spheres

Markus Banagl

arxiv:1508.01337 v1 · 2015-08-06 · math.AT · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GPQCVDVWSWBKHYPPQFMOS3OTC5}

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	2026-05-18T01:35:42.859740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33e02a8eb69582a3e1ef8158e96dd31762a86866ecf2433b5a6862c1aea0a0c0

Aliases

arxiv: 1508.01337 · arxiv_version: 1508.01337v1 · doi: 10.48550/arxiv.1508.01337 · pith_short_12: GPQCVDVWSWBK · pith_short_16: GPQCVDVWSWBKHYPP · pith_short_8: GPQCVDVW

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/GPQCVDVWSWBKHYPPQFMOS3OTC5 \
  | 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: 33e02a8eb69582a3e1ef8158e96dd31762a86866ecf2433b5a6862c1aea0a0c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dde26782f8abf50b1dfd39fd9d4498463a79fae5206e4a94369c971de926f0b6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-08-06T09:31:50Z",
    "title_canon_sha256": "da1f9c3c74ad39051a2bb4e17dc25adbfb77dbf6015a9f14a10d5af37c423e71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01337",
    "kind": "arxiv",
    "version": 1
  }
}