pith. sign in
Pith Number

pith:SNPTOB25

pith:2015:SNPTOB25SDY7MPKDRCD746CN7M
not attested not anchored not stored refs pending

Metric Selfduality and Monotone Vector Fields on Manifolds

Abbas Moameni, Nassif Ghoussoub

arxiv:1512.02703 v1 · 2015-12-09 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{SNPTOB25SDY7MPKDRCD746CN7M}

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 2026-05-18T01:24:43.315074Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

935f37075d90f1f63d438887fe784dfb15a3b48bf34f804b284efb81bca0a441

Aliases

arxiv: 1512.02703 · arxiv_version: 1512.02703v1 · doi: 10.48550/arxiv.1512.02703 · pith_short_12: SNPTOB25SDY7 · pith_short_16: SNPTOB25SDY7MPKD · pith_short_8: SNPTOB25
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/SNPTOB25SDY7MPKDRCD746CN7M \
  | 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: 935f37075d90f1f63d438887fe784dfb15a3b48bf34f804b284efb81bca0a441
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0272a380920a2ba207ca841cdc60d6732aec066708c7630b2183d3f848dba310",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-09T00:34:48Z",
    "title_canon_sha256": "c5d11906453402d9db08ddd239f74c1d16a651587b067f1040277e181d521484"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02703",
    "kind": "arxiv",
    "version": 1
  }
}