Pith Number

pith:GOPXTXLP

pith:2017:GOPXTXLPBMJN4U2FV3NZNZOPT4

not attested not anchored not stored refs pending

Conformal anti-invariant $\xi^\perp-$submersions

Mehmet Akif Akyol, Y{\i}lmaz G\"und\"uzalp

arxiv:1701.05117 v1 · 2017-01-17 · 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{GOPXTXLPBMJN4U2FV3NZNZOPT4}

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	2026-05-18T00:52:07.816817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

339f79dd6f0b12de5345aedb96e5cf9f2b73ba83a14da0be886d89f746b1ed38

Aliases

arxiv: 1701.05117 · arxiv_version: 1701.05117v1 · doi: 10.48550/arxiv.1701.05117 · pith_short_12: GOPXTXLPBMJN · pith_short_16: GOPXTXLPBMJN4U2F · pith_short_8: GOPXTXLP

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/GOPXTXLPBMJN4U2FV3NZNZOPT4 \
  | 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: 339f79dd6f0b12de5345aedb96e5cf9f2b73ba83a14da0be886d89f746b1ed38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e341c31f11889c3bdd5abf8d9a7c3867b3afaef7197a806f9a0dacbe3a72447",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-01-17T08:44:46Z",
    "title_canon_sha256": "405ce5df841d060c0af80b351fb0837a830f78937d597b838897676473468ed3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.05117",
    "kind": "arxiv",
    "version": 1
  }
}