Pith Number

pith:2BSTQE5F

pith:2018:2BSTQE5F4SHNO4DBZADUMEFRXP

not attested not anchored not stored refs pending

Notes On Open Book Decompositions For Engel Structures

Francisco Presas, Thomas Vogel (LMU), Vincent Colin (LMJL)

arxiv:1802.07639 v1 · 2018-02-21 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2BSTQE5F4SHNO4DBZADUMEFRXP}

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	2026-05-17T23:58:05.145696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0653813a5e48ed77061c8074610b1bbee0737a307a5791969a75e8ae68ddee6

Aliases

arxiv: 1802.07639 · arxiv_version: 1802.07639v1 · doi: 10.48550/arxiv.1802.07639 · pith_short_12: 2BSTQE5F4SHN · pith_short_16: 2BSTQE5F4SHNO4DB · pith_short_8: 2BSTQE5F

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/2BSTQE5F4SHNO4DBZADUMEFRXP \
  | 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: d0653813a5e48ed77061c8074610b1bbee0737a307a5791969a75e8ae68ddee6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67de40090922f8b3966b435d8ac7e86225ad20ba437dd23e0a207702996c8b31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2018-02-21T16:11:45Z",
    "title_canon_sha256": "7383157ec407561f872276ee9970b5513e41ab8eaf272c317228f28e1191f459"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.07639",
    "kind": "arxiv",
    "version": 1
  }
}