Pith Number

pith:HR7Q6E47

pith:2015:HR7Q6E47CBD5P4LVEIPX27E5NG

not attested not anchored not stored refs pending

Webs of stars or how to triangulate free sums of point configurations

Benjamin Assarf, Julian Pfeifle, Michael Joswig

arxiv:1512.08411 v2 · 2015-12-28 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HR7Q6E47CBD5P4LVEIPX27E5NG}

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	2026-05-18T00:02:13.883045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c7f0f139f1047d7f175221f7d7c9d69b545be28f38ad2a5bd79c6adaacbcae5

Aliases

arxiv: 1512.08411 · arxiv_version: 1512.08411v2 · doi: 10.48550/arxiv.1512.08411 · pith_short_12: HR7Q6E47CBD5 · pith_short_16: HR7Q6E47CBD5P4LV · pith_short_8: HR7Q6E47

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/HR7Q6E47CBD5P4LVEIPX27E5NG \
  | 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: 3c7f0f139f1047d7f175221f7d7c9d69b545be28f38ad2a5bd79c6adaacbcae5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23c1cf46709b671caa7cfd72bc1d39238761d1e842b0d0634e6e01e2ede0961a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-28T13:44:33Z",
    "title_canon_sha256": "d5a2e58a43ce86d0ff4f2d8ffb23ce8bdefde3342af0deaa7424f44d098ae50a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08411",
    "kind": "arxiv",
    "version": 2
  }
}