Pith Number

pith:DUGT7FYE

pith:2016:DUGT7FYEAZIGAFBPT6DI2NCCQB

not attested not anchored not stored refs pending

Rigidity of Marginally Outer Trapped (Hyper)Surfaces with Negative $\sigma$-Constant

Abra\~ao Mendes

arxiv:1609.01579 v1 · 2016-09-06 · 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{DUGT7FYEAZIGAFBPT6DI2NCCQB}

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	2026-05-18T01:05:39.240950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d0d3f9704065060142f9f868d34428079111a9a1bfd1235e7174e5b0ac5afa6

Aliases

arxiv: 1609.01579 · arxiv_version: 1609.01579v1 · doi: 10.48550/arxiv.1609.01579 · pith_short_12: DUGT7FYEAZIG · pith_short_16: DUGT7FYEAZIGAFBP · pith_short_8: DUGT7FYE

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/DUGT7FYEAZIGAFBPT6DI2NCCQB \
  | 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: 1d0d3f9704065060142f9f868d34428079111a9a1bfd1235e7174e5b0ac5afa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d09baed0597fc13d751010f4262f867812909c84e949ab49d2669ccea16ea36a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-09-06T14:43:13Z",
    "title_canon_sha256": "ba2db7611bc1d78a37dbce4dda88f257c2d140b1d4fdd93a2e9b68c2d6e2a2de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01579",
    "kind": "arxiv",
    "version": 1
  }
}