Pith Number

pith:WELB2RHY

pith:2015:WELB2RHYR56M2XALXT7WPJ3BIF

not attested not anchored not stored refs pending

Midpoints for Thompson's metric on symmetric cones

Bas Lemmens, Mark Roelands

arxiv:1507.03087 v1 · 2015-07-11 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WELB2RHYR56M2XALXT7WPJ3BIF}

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	2026-05-18T01:36:59.734702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1161d44f88f7ccd5c0bbcff67a761417c93f6c04b26ed56f66abcfad0d86aeb

Aliases

arxiv: 1507.03087 · arxiv_version: 1507.03087v1 · doi: 10.48550/arxiv.1507.03087 · pith_short_12: WELB2RHYR56M · pith_short_16: WELB2RHYR56M2XAL · pith_short_8: WELB2RHY

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/WELB2RHYR56M2XALXT7WPJ3BIF \
  | 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: b1161d44f88f7ccd5c0bbcff67a761417c93f6c04b26ed56f66abcfad0d86aeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "794cd8920e4890315cadf22dcba35769febab671124f51c3d2beee1e7c592904",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-07-11T10:17:37Z",
    "title_canon_sha256": "7ea4149fa55fafff001fd6a30adf15cc788ceacb4c4be2cf228ee73b03c4716a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03087",
    "kind": "arxiv",
    "version": 1
  }
}