Pith Number

pith:2MUKHGO5

pith:2025:2MUKHGO5GXO6PQJILCPJXCOFJL

not attested not anchored not stored refs pending

On the inverse problem of the two-velocity tree-like graph

A. Choque Rivero, G. Leugering, S.A. Avdonin, V.S. Mikhaylov

arxiv:2505.22138 v1 · 2025-05-28 · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2MUKHGO5GXO6PQJILCPJXCOFJL}

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	2026-07-05T11:11:10.575304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d328a399dd35dde7c128589e9b89c54ac5be639818bdfd0def3d5078732ef514

Aliases

arxiv: 2505.22138 · arxiv_version: 2505.22138v1 · doi: 10.48550/arxiv.2505.22138 · pith_short_12: 2MUKHGO5GXO6 · pith_short_16: 2MUKHGO5GXO6PQJI · pith_short_8: 2MUKHGO5

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/2MUKHGO5GXO6PQJILCPJXCOFJL \
  | 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: d328a399dd35dde7c128589e9b89c54ac5be639818bdfd0def3d5078732ef514

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "737a14f6e6752c2e3741d24e106d137d7f57aa1457be5a6eed6d6bfdeb0ffd14",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-05-28T09:01:25Z",
    "title_canon_sha256": "c68d8702c301ce2b572e941b21bb56a243ebc45ff4186d90aabd105b31d83e7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.22138",
    "kind": "arxiv",
    "version": 1
  }
}