Pith Number

pith:R63XH5CE

pith:2018:R63XH5CE2ELMAMBXTYLZMZPUUD

not attested not anchored not stored refs pending

Flows of co-closed $G_{2}$-structures

Sergey Grigorian

arxiv:1811.10505 v1 · 2018-11-26 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R63XH5CE2ELMAMBXTYLZMZPUUD}

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	2026-05-17T23:59:54.528004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fb773f444d116c030379e179665f4a0e728d2c81529eeb2b16d744b1077ab3d

Aliases

arxiv: 1811.10505 · arxiv_version: 1811.10505v1 · doi: 10.48550/arxiv.1811.10505 · pith_short_12: R63XH5CE2ELM · pith_short_16: R63XH5CE2ELMAMBX · pith_short_8: R63XH5CE

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/R63XH5CE2ELMAMBXTYLZMZPUUD \
  | 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: 8fb773f444d116c030379e179665f4a0e728d2c81529eeb2b16d744b1077ab3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "545a914e7e891fcdfa0a5bb92b78ecc95e6bd24a4108a1b57fe5cb86e8bbb1f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-11-26T16:57:54Z",
    "title_canon_sha256": "98ed316116acf47ef4654aaa4a263cb794bd3a4a3afad2b9489c9c9883d2b62f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.10505",
    "kind": "arxiv",
    "version": 1
  }
}