Pith Number

pith:TNVBKMGB

pith:2026:TNVBKMGB2W5T5UP4P54NO6C5GQ

not attested not anchored not stored refs pending

Total curvature and length estimates for timelike curves in Lorentzian length spaces

Darius Er\"os, Felix Rott, Zhe-Feng Xu

arxiv:2606.17834 v1 · 2026-06-16 · math.DG · 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{TNVBKMGB2W5T5UP4P54NO6C5GQ}

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	2026-06-19T16:10:40.872196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b6a1530c1d5bb3ed1fc7f78d7785d3413fa1f52d3f80d4d90bcfea87bb1822f

Aliases

arxiv: 2606.17834 · arxiv_version: 2606.17834v1 · doi: 10.48550/arxiv.2606.17834 · pith_short_12: TNVBKMGB2W5T · pith_short_16: TNVBKMGB2W5T5UP4 · pith_short_8: TNVBKMGB

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/TNVBKMGB2W5T5UP4P54NO6C5GQ \
  | 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: 9b6a1530c1d5bb3ed1fc7f78d7785d3413fa1f52d3f80d4d90bcfea87bb1822f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f17bad5b6d1245eeaf5922193e1913732a544d8029cb1049e91523c593fee916",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-16T12:01:49Z",
    "title_canon_sha256": "ed6e158cb99b5c76b20718e075961accd8b5ace0fcc11ce07b78f9c7cc9e44f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17834",
    "kind": "arxiv",
    "version": 1
  }
}