Pith Number

pith:PBP4POAX

pith:2018:PBP4POAXDWXDR67E6PJX7TOUCF

not attested not anchored not stored refs pending

Formal Barycenter Spaces with Weights: The Euler Characteristic

Sadok Kallel

arxiv:1808.00038 v2 · 2018-07-31 · math.AT · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PBP4POAXDWXDR67E6PJX7TOUCF}

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	2026-05-17T23:54:39.399643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

785fc7b8171dae38fbe4f3d37fcdd4117d3133ee5f705afe39085d43a4125b4c

Aliases

arxiv: 1808.00038 · arxiv_version: 1808.00038v2 · doi: 10.48550/arxiv.1808.00038 · pith_short_12: PBP4POAXDWXD · pith_short_16: PBP4POAXDWXDR67E · pith_short_8: PBP4POAX

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/PBP4POAXDWXDR67E6PJX7TOUCF \
  | 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: 785fc7b8171dae38fbe4f3d37fcdd4117d3133ee5f705afe39085d43a4125b4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebd8ab939ed8729760c1a3936d2475d97355cfcf6ab4b32041138f1ff489a5ce",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-07-31T19:32:35Z",
    "title_canon_sha256": "9dd591e2ed43962038464f221073da447cc0b38af16eb6f56fed8e1183c96231"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.00038",
    "kind": "arxiv",
    "version": 2
  }
}