Pith Number

pith:M3TAGBFU

pith:2017:M3TAGBFUA2BQU7AZE7FKWBXQ6A

not attested not anchored not stored refs pending

Warps and grids for double and triple vector bundles

Kirill Mackenzie, Magdalini K. Flari

arxiv:1705.01017 v2 · 2017-05-02 · math.DG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M3TAGBFUA2BQU7AZE7FKWBXQ6A}

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	2026-05-18T00:44:04.150380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66e60304b406830a7c1927caab06f0f021b3f28794577578ee4f6d8ab1d79ac1

Aliases

arxiv: 1705.01017 · arxiv_version: 1705.01017v2 · doi: 10.48550/arxiv.1705.01017 · pith_short_12: M3TAGBFUA2BQ · pith_short_16: M3TAGBFUA2BQU7AZ · pith_short_8: M3TAGBFU

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/M3TAGBFUA2BQU7AZE7FKWBXQ6A \
  | 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: 66e60304b406830a7c1927caab06f0f021b3f28794577578ee4f6d8ab1d79ac1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "734b01f47b8ecbf33b81d3da7e72c34ae61e5b8773ac33b1fc27a23aa3633088",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-05-02T15:15:51Z",
    "title_canon_sha256": "2a3d378d8fd3a7840ba2dfb7cc1d0dee30c48bf0906a23eb797602518982d581"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.01017",
    "kind": "arxiv",
    "version": 2
  }
}