Pith Number

pith:G6ZL6FZX

pith:2015:G6ZL6FZXXW72ZL3QYPHRLER22D

not attested not anchored not stored refs pending

Curved space-times by crystallization of liquid fiber bundles

Dimitri Vey, Fr\'ed\'eric H\'elein

arxiv:1508.07765 v2 · 2015-08-31 · math-ph · 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{G6ZL6FZXXW72ZL3QYPHRLER22D}

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	2026-05-18T00:52:02.299697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37b2bf1737bdbfacaf70c3cf15923ad0e303cfaab37e3090c50c1aaf52e04b36

Aliases

arxiv: 1508.07765 · arxiv_version: 1508.07765v2 · doi: 10.48550/arxiv.1508.07765 · pith_short_12: G6ZL6FZXXW72 · pith_short_16: G6ZL6FZXXW72ZL3Q · pith_short_8: G6ZL6FZX

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/G6ZL6FZXXW72ZL3QYPHRLER22D \
  | 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: 37b2bf1737bdbfacaf70c3cf15923ad0e303cfaab37e3090c50c1aaf52e04b36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c76fb35476caa394022ee9edc18e5663cc651595e5e078ecae882134c49c0c2e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-08-31T11:10:16Z",
    "title_canon_sha256": "32ade116762215c6c56ba23761e82c4bb2a8137641a6ba2556c58eaece53e6d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07765",
    "kind": "arxiv",
    "version": 2
  }
}