Pith Number

pith:GOT6YTAM

pith:2011:GOT6YTAMEFLLK23KOFVHLKUP2T

not attested not anchored not stored refs pending

A framework for structure-preserving submersions and some theorems in relativistic flows

Ziyang Hu

arxiv:1112.6155 v1 · 2011-12-28 · math-ph · gr-qc · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GOT6YTAMEFLLK23KOFVHLKUP2T}

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	2026-05-18T04:05:36.646450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33a7ec4c0c2156b56b6a716a75aa8fd4cb0e48287891ad4d3c22a10d28fed3f7

Aliases

arxiv: 1112.6155 · arxiv_version: 1112.6155v1 · doi: 10.48550/arxiv.1112.6155 · pith_short_12: GOT6YTAMEFLL · pith_short_16: GOT6YTAMEFLLK23K · pith_short_8: GOT6YTAM

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/GOT6YTAMEFLLK23KOFVHLKUP2T \
  | 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: 33a7ec4c0c2156b56b6a716a75aa8fd4cb0e48287891ad4d3c22a10d28fed3f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4296eaa9ac2d3c88f5b11d7f667bc8872197af2e9c4e57665a8460a413c07c7",
    "cross_cats_sorted": [
      "gr-qc",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-12-28T17:21:23Z",
    "title_canon_sha256": "e7eb54bc316ceabac40c05b85be476ea5c48aca5f1d74ea196e8ea5fc653b067"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6155",
    "kind": "arxiv",
    "version": 1
  }
}