Pith Number

pith:AETTHHXU

pith:2022:AETTHHXU55PP37CMXQ42YCIDLC

not attested not anchored not stored refs pending

Box distance and observable distance via optimal transport

Hiroki Nakajima

arxiv:2204.04893 v2 · 2022-04-11 · 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{AETTHHXU55PP37CMXQ42YCIDLC}

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.

Cited by

2 papers in Pith

Observable diameters with varying screens

Direct sums and decompositions of Gromov's pyramids

Receipt and verification

First computed	2026-07-05T04:30:55.963642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0127339ef4ef5efdfc4cbc39ac09035899645cdb4db0ae40294a9588659ba2ba

Aliases

arxiv: 2204.04893 · arxiv_version: 2204.04893v2 · doi: 10.48550/arxiv.2204.04893 · pith_short_12: AETTHHXU55PP · pith_short_16: AETTHHXU55PP37CM · pith_short_8: AETTHHXU

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/AETTHHXU55PP37CMXQ42YCIDLC \
  | 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: 0127339ef4ef5efdfc4cbc39ac09035899645cdb4db0ae40294a9588659ba2ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f775fed9a1b00a193d62d21bb3d4500165a36bdb823a0fa88f2b905b57f02a67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2022-04-11T06:29:51Z",
    "title_canon_sha256": "fa9e0b508ed202e2db7b40c60902bc05817dc1848dbc4eaf0ac6d98dc7e5ec8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.04893",
    "kind": "arxiv",
    "version": 2
  }
}