Pith Number

pith:3C43EGTK

pith:2016:3C43EGTKMAOILORRKYBAJMVE2C

not attested not anchored not stored refs pending

Minkowski concentricity and complete simplices

Bernardo Gonz\'alez Merino, Ren\'e Brandenberg

arxiv:1612.06767 v1 · 2016-12-20 · 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{3C43EGTKMAOILORRKYBAJMVE2C}

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	2026-05-18T00:54:21.515544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8b9b21a6a601c85ba31560204b2a4d0bfbf18b0bcec7703ee09110525498e1c

Aliases

arxiv: 1612.06767 · arxiv_version: 1612.06767v1 · doi: 10.48550/arxiv.1612.06767 · pith_short_12: 3C43EGTKMAOI · pith_short_16: 3C43EGTKMAOILORR · pith_short_8: 3C43EGTK

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/3C43EGTKMAOILORRKYBAJMVE2C \
  | 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: d8b9b21a6a601c85ba31560204b2a4d0bfbf18b0bcec7703ee09110525498e1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc6c3fecdd2493d1c63fb16dfbf668cc7c8b1caffbacc37af086fb8e63f0afc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-12-20T17:19:00Z",
    "title_canon_sha256": "4c687926a027ffa3351fc533579b350a7a0e26fcd1df89d3446bee35467b3a5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06767",
    "kind": "arxiv",
    "version": 1
  }
}