Pith Number

pith:CUITQZBG

pith:2015:CUITQZBGF4TEFUAV7PKVPII7WF

not attested not anchored not stored refs pending

Modified Laplacian coflow of $G_{2}$-structures on manifolds with symmetry

Sergey Grigorian

arxiv:1504.05506 v1 · 2015-04-21 · 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{CUITQZBGF4TEFUAV7PKVPII7WF}

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	2026-05-18T00:23:19.605651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15113864262f2642d015fbd557a11fb15e1de5a771ca04737ab6afe86356c3ce

Aliases

arxiv: 1504.05506 · arxiv_version: 1504.05506v1 · doi: 10.48550/arxiv.1504.05506 · pith_short_12: CUITQZBGF4TE · pith_short_16: CUITQZBGF4TEFUAV · pith_short_8: CUITQZBG

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/CUITQZBGF4TEFUAV7PKVPII7WF \
  | 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: 15113864262f2642d015fbd557a11fb15e1de5a771ca04737ab6afe86356c3ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d3de6b11c4089739c5c6ee58ea4589d6a0733f38a46fe180ffba22ed8ac6364",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-04-21T16:46:54Z",
    "title_canon_sha256": "bd4e04918c4f29b823ec4686a95ee4f8e80bba5e5a1299fd5fc0b8daf33f32f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05506",
    "kind": "arxiv",
    "version": 1
  }
}