Pith Number

pith:VGFEBD56

pith:2021:VGFEBD56K67C2POD5457YWJ264

not attested not anchored not stored refs pending

Symmetries of exotic aspherical space forms

Bena Tshishiku, Mauricio Bustamante

arxiv:2109.09196 v2 · 2021-09-19 · math.GT

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

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\usepackage{pith}
\pithnumber{VGFEBD56K67C2POD5457YWJ264}

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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.

Cited by

1 paper in Pith

Exotic aspherical 4-manifolds

Receipt and verification

First computed	2026-07-05T05:54:10.741529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a98a408fbe57be2d3dc3ef3bfc593af72ce1d974fc4a8c9455735d56bba0dd17

Aliases

arxiv: 2109.09196 · arxiv_version: 2109.09196v2 · doi: 10.48550/arxiv.2109.09196 · pith_short_12: VGFEBD56K67C · pith_short_16: VGFEBD56K67C2POD · pith_short_8: VGFEBD56

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/VGFEBD56K67C2POD5457YWJ264 \
  | 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: a98a408fbe57be2d3dc3ef3bfc593af72ce1d974fc4a8c9455735d56bba0dd17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13ae4991c7a2c2eaaeba5aa2aa687768f7c3a5823584180e4524a18f27696315",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2021-09-19T19:12:01Z",
    "title_canon_sha256": "046ed81be1edbe1a3fcadb8d5f134474f4156cf946e5bdd5fc3c5b3899d95b3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.09196",
    "kind": "arxiv",
    "version": 2
  }
}